]>
2016
9
7
ISSN 2008-1898
193
Hybrid method for the equilibrium problem and a family of generalized nonexpansive mappings in Banach spaces
Hybrid method for the equilibrium problem and a family of generalized nonexpansive mappings in Banach spaces
en
en
We introduce a hybrid method for finding a common element of the set of solutions of an equilibrium
problem defined on the dual space of a Banach space and the set of common fixed points of a family
of generalized nonexpansive mappings and prove strong convergence theorems by using the new hybrid
method. Using our main results, we obtain some new strong convergence theorems for finding a solution
of an equilibrium problem and a fixed point of a family of generalized nonexpansive mappings in a Banach
space.
4963
4975
Chakkrid
Klin-eam
Department of Mathematics, Faculty of Science
Research Center for Academic Excellence in Mathematics
Naresuan University, , Thailand.
Naresuan University
Thailand
Thailand
chakkridk@nu.ac.th
Prondanai
Kaskasem
Department of Mathematics, Faculty of Science
Naresuan University
Thailand
prondanaik@hotmail.com
Suthep
Suantai
Department of Mathematics, Faculty of Science
Chiang Mai University
Thailand
scmti005@chiangmai.ac.th
Hybrid method
generalized nonexpansive mapping
NST-condition
equilibrium problem
fixed point problem
Banach space.
Article.1.pdf
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S. Kamimura, W. Takahashi, Strong convergence of a proximal-type algorithm in a Banach space, SIAM J. Optim., 13 (2002), 938-945
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F. Kohsaka, W. Takahashi, Generalized nonexpansive retractions and a proximal-type algorithm in Banach spaces, J. Nonlinear Convex Anal., 8 (2007), 197-209
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W. R. Mann, Mean value methods in iteration, Proc. Amer. Math. Soc., 4 (1953), 506-510
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K. Nakajo, K. Shimoji, W. Takahashi, Strong convergence to common fixed points of families of nonexpansive mappings in Banach spaces, J. Nonlinear Convex Anal., 6 (2007), 11-34
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K. Nakajo, W. Takahashi, Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups, J. Math. Anal. Appl., 279 (2003), 372-379
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W. Takahashi, Y. Takeuchi, R. Kubota, Strong convergence theorems by hybrid methods for families of nonexpansive mappings in Hilbert spaces, J. Math. Anal. Appl., 341 (2008), 276-286
##[12]
W. Takahashi, K. Zembayashi, A strong convergence theorem for the equilibrium problem with a bifunction defined on the dual space of a Banach space, Fixed point theory and its applications, Yokohama Publ., Yokohama, 197--209 (2008), -
##[13]
C. Zălinescu, On uniformly convex functions, J. Math. Anal. Appl., 95 (1983), 344-374
]
Bifurcation analysis in a discrete SIR epidemic model with the saturated contact rate and vertical transmission
Bifurcation analysis in a discrete SIR epidemic model with the saturated contact rate and vertical transmission
en
en
The aim of paper is dealing with the dynamical behaviors of a discrete SIR epidemic model with the
saturated contact rate and vertical transmission. More precisely, we investigate the local stability of equilibriums, the existence, stability and direction of
flip bifurcation and Neimark-Sacker bifurcation of the
model by using the center manifold theory and normal form method. Finally, the numerical simulations are
provided for justifying the validity of the theoretical analysis.
4976
4989
Wenju
Du
School of Traffic and Transportation
Lanzhou Jiaotong University
China
duwenjuok@126.com
Jiangang
Zhang
Department of Mathematics
Lanzhou Jiaotong University
China
zhangjg7715776@126.com
Shuang
Qin
Department of Mathematics
Lanzhou Jiaotong University
China
qinshuangok@126.com
Jianning
Yu
School of Traffic and Transportation
Lanzhou Jiaotong University
China
yujn@mail.lzjtu.cn
Discrete SIR epidemic model
stability
flip bifurcation
Neimark-Sacker bifurcation.
Article.2.pdf
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]
On some recent fixed point results for (\(\psi,\varphi\))-contractive mappings in ordered partial b-metric spaces
On some recent fixed point results for (\(\psi,\varphi\))-contractive mappings in ordered partial b-metric spaces
en
en
In this paper we unite, complement, improve, and generalize the recent fixed point results in ordered
partial b-metric spaces, established by Mustafa et al. [Z. Mustafa, J. R. Roshan, V. Parvaneh, Z. Kadelburg,
J. Inequal. Appl., 2013 (2013), 26 pages], with much shorter proofs. An example is given to show the
superiority of the results obtained.
4990
4999
Huaping
Huang
School of Mathematical Sciences
Beijing Normal University
China
mathhhp@163.com
Diana
Dolićanin-Đekić
Faculty of Technical Sciences
University of Prištna-Kosovska Mitrovica
Serbia
diana.dolicanin@pr.ac.rs
Guantie
Deng
School of Mathematical Sciences
Beijing Normal University, Beijing
China
denggt@bnu.edu.cn
Fixed point
b-metric space
partial metric space
ordered partial b-metric space
partially ordered set.
Article.3.pdf
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]
Existence of solutions for fractional integral boundary value problems with \(p(t)\)-Laplacian operator
Existence of solutions for fractional integral boundary value problems with \(p(t)\)-Laplacian operator
en
en
This paper aims to investigate the existence of solutions for fractional integral boundary value problems
(BVPs for short) with \(p(t)\)-Laplacian operator. By using the fixed point theorem and the coincidence degree
theory, two existence results are obtained, which enrich existing literatures. Some examples are supplied to
verify our main results.
5000
5010
Tengfei
Shen
College of Sciences
China University of Mining and Technology
P. R. China
stfcool@126.com
Wenbin
Liu
College of Sciences
China University of Mining and Technology
P. R. China
cumt_equations@126.com
Fractional differential equation
boundary value problem
\(p(t)\)-Laplacian operator
fixed point theorem
coincidence degree theory.
Article.4.pdf
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[1]
B. Ahmad, R. P. Agarwal, Some new versions of fractional boundary value problems with slit-strips conditions, Bound. Value Probl., 2014 (2014), 1-12
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C. Bai , Existence of positive solutions for a functional fractional boundary value problem, Abstr. Appl. Anal., 2010 (2010), 1-13
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C. Bai , Existence of positive solutions for boundary value problems of fractional functional differential equations, Electron. J. Qual. Theory Differ. Equ., 2010 (2010), 1-14
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J. Bai, X. C. Feng, Fractional-order anisotropic diffusion for image denoising, IEEE Trans. Image Process., 16 (2007), 2492-2502
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Y. Chen, S. Levine, M. Rao, Variable exponent, linear growth functionals in image restoration, SIAM J. Appl. Math., 66 (2006), 1383-1406
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T. Chen, W. Liu , An anti-periodic boundary value problem for the fractional differential equation with a p- Laplacian operator, Appl. Math. Lett., 25 (2012), 1671-1675
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J. B. Hu, G. P. Lu, S. B. Zhang, L. D. Zhao, Lyapunov stability theorem about fractional system without and with delay, Commun. Nonlinear Sci. Numer. Simul., 20 (2015), 905-913
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Refinements of certain hyperbolic inequalities via the Padé approximation method
Refinements of certain hyperbolic inequalities via the Padé approximation method
en
en
The aim of this paper is to deal with the refinements of certain inequalities for hyperbolic functions
using Padé approximation method. We provide a useful way of improving the inequalities for trigonometric
functions and hyperbolic functions.
5011
5020
Gabriel
Bercu
Department of Mathematics and Computer Sciences
''Dunarea de Jos'' University of Galati
Romania
Gabriel.Bercu@ugal.ro
Shanhe
Wu
Department of Mathematics
Longyan University
P. R. China
shanhewu@163.com
Padé approximation
Taylor expansion
continued fraction
hyperbolic inequalities
refinement.
Article.5.pdf
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[1]
Á. Baricz , Redheffer type inequality for Bessel functions, JIPAM. J. Inequal. Pure Appl. Math., 8 (2007), 1-6
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L. Zhu , On Wilker type inequalities, Math. Inequal. Appl., 10 (2007), 727-731
##[26]
L. Zhu, Some new Wilker-type inequalities for circular and hyperbolic functions, Abstr. Appl. Anal., 2009 (2009), 1-9
]
An explicit iterative algorithm for \(k\)-strictly pseudo-contractive mappings in Banach spaces
An explicit iterative algorithm for \(k\)-strictly pseudo-contractive mappings in Banach spaces
en
en
Let \(E\) be a real uniformly smooth Banach space. Let \(K\) be a nonempty bounded closed and convex
subset of \(E\). Let \(T : K \rightarrow K\) be a strictly pseudo-contractive map and \(f\) be a contraction on \(K\). Assume
\(F(T) := \{x \in K : Tx = x\} \neq\emptyset\). Consider the following iterative algorithm in \(K\) given by
\[x_{n+1} = \alpha_nf(x_n) + \beta_nx_n +\gamma_nS_nx_n,\]
where \(S_n : K \rightarrow K\) is a mapping defined by \(S_nx := (1 -\delta_n)x + \delta_nTx\). It is proved that the sequence \(\{x_n\}\)
generated by the above iterative algorithm converges strongly to a fixed point of \(T\). Our results mainly
extend and improve the results of [C. O. Chidume, G. De Souza, Nonlinear Anal., 69 (2008), 2286-2292]
and [J. Balooee, Y. J. Cho, M. Roohi, Numer. Funct. Anal. Optim., 37 (2016), 284-303].
5021
5028
Qinwei
Fan
School of Science
Xi'an Polytechnic University, Xi'an
China
qinweifan@126.com
Xiaoyin
Wang
Department of Mathematics
Tianjin Polytechnic University
China
wxywxq@163.com
Strictly pseudo-contractive mappings
iterative algorithm
strong convergence
fixed point
Banach spaces.
Article.6.pdf
[
[1]
J. Balooee, Y. J. Cho, M. Roohi, Convergence theorems for pointwise asymptotically strict pseudo-contractions in Hilbert spaces, Numer. Funct. Anal. Optim., 37 (2016), 284-303
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On new traveling wave solutions of potential KdV and (3+1)-dimensional Burgers equations
On new traveling wave solutions of potential KdV and (3+1)-dimensional Burgers equations
en
en
This paper acquires soliton solutions of the potential KdV (PKdV) equation and the (3+1)-dimensional
Burgers equation (BE) by the two variables
\((\frac{G'}{ G} ,\frac{ 1}{ G})\)
expansion method (EM). Obtained soliton solutions
are designated in terms of kink, bell-shaped solitary wave, periodic and singular periodic wave solutions.
These solutions may be useful and desirable to explain some nonlinear physical phenomena.
5029
5040
Fairouz
Tchier
Department of Mathematics
King Saud University
Saudi Arabia
ftchier@ksu.edu.sa
Ibrahim E.
Inan
Faculty of Education
Firat University
Turkey
ieinan@yahoo.com
Yavuz
Ugurlu
Science Faculty, Department of Mathematics
Firat University
Turkey
matematikci_23@yahoo.com.tr
Mustafa
Inc
Science Faculty, Department of Mathematics
Firat University
Turkey
minc@firat.edu.tr
Dumitru
Baleanu
Department of Mathematics
Cankaya University
Institute of Space Sciences
Turkey
Romania
dumitru@cankaya.edu.tr
\((\frac{G'}{ G}، \frac{ 1}{ G})\) -EM
the PKdV equation
the (3+1)-dimensional BE
hyperbolic solution
periodic solution
rational solution.
Article.7.pdf
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[1]
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##[18]
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X. Zheng, Y. Chen, H. Zhang, Generalized extended tanh-function method and its application to (1+1)-dimensional dispersive long wave equation, Phys. Lett. A, 311 (2003), 145-157
]
A converse result concerning the periodic structure of commuting affine circle maps
A converse result concerning the periodic structure of commuting affine circle maps
en
en
We analyze the set of periods of a class of maps \(\phi_{d,\kappa}: \mathbb{Z}_\Delta\rightarrow \mathbb{Z}_\Delta\) defined by \(\phi_{d,\kappa}(x)=dx+\kappa,\quad d,\kappa\in\mathbb{Z}_\Delta\),
where \(\Delta\) is an integer greater than 1. This study is important to characterize completely the period sets of
alternated systems \(f; g; f; g,... \), where \(f; g : \mathbb{S}_1 \rightarrow \mathbb{S}_1\) are affine circle maps that commute, and to solve the
converse problem of constructing commuting affine circle maps having a prescribed set of periods.
5041
5060
José Salvador Cánovas
Peña
Departamento de Matematica Aplicada y Estadistica
Universidad Politecnica de Cartagena, Campus Muralla del Mar
Spain
Jose.Canovas@upct.es
Antonio Linero
Bas
Department of Mathematics
Universidad de Murcia, Campus de Espinardo
Spain
lineroba@um.es
Gabriel Soler
López
Departamento de Matematica Aplicada y Estadistica
Universidad Politecnica de Cartagena
Spain
gabriel.soler@upct.es
Affine maps
alternated system
periods
circle maps
degree
combinatorial dynamics
ring of residues modulo m
Abelian multiplicative group of residues modulo m
Euler function
congruence
order
generator.
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Numerical solution of fractional bioheat equation by quadratic spline collocation method
Numerical solution of fractional bioheat equation by quadratic spline collocation method
en
en
Based on the quadratic spline function, a quadratic spline collocation method is presented for the time
fractional bioheat equation governing the process of heat transfer in tissues during the thermal therapy. The
corresponding linear system is given. The stability and convergence are analyzed. Some numerical examples
are given to demonstrate the efficiency of this method.
5061
5072
Yanmei
Qin
Key Laboratory of Numerical Simulation of Sichuan Province/College of Mathematics and Information Science
Neijiang Normal University
P. R. China
qinyanmei0809@163.com
Kaiteng
Wu
Key Laboratory of Numerical Simulation of Sichuan Province/College of Mathematics and Information Science
Neijiang Normal University
P. R. China
wukaiteng@263.com
Quadratic spline collocation method
fractional bioheat equation
hyperthermia.
Article.9.pdf
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]
On a nonlinear Hadamard type fractional differential equation with p-Laplacian operator and strip condition
On a nonlinear Hadamard type fractional differential equation with p-Laplacian operator and strip condition
en
en
Under certain nonlinear growth conditions of the nonlinearity, we investigate the existence of solutions
for a nonlinear Hadamard type fractional differential equation with strip condition and p-Laplacian operator.
At the end, two examples are given to illustrate our main results.
5073
5081
Guotao
Wang
School of Mathematics and Computer Science
Shanxi Normal University
P. R. China
wgt2512@163.com
Taoli
Wang
School of Mathematics and Computer Science
Shanxi Normal University
P. R. China
17835066293@163.com
Hadamard fractional differential equations
strip condition
p-Laplacian operator
fixed point.
Article.10.pdf
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B. Ahmad, S. K. Ntouyas, A fully Hadamard type integral boundary value problem of a coupled system of fractional differential equations, Fract. Calc. Appl. Anal., 17 (2014), 348-360
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B. Ahmad, S. K. Ntouyas, J. Tariboon, A study of mixed Hadamard and Riemann-Liouville fractional integro- differential inclusions via endpoint theory, Appl. Math. Lett., 52 (2016), 9-14
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S. Aljoudi, B. Ahmad, J. J. Nieto, A. Alsaedi , A coupled system of Hadamard type sequential fractional differential equations with coupled strip conditions, Chaos Solitons Fractals, 91 (2016), 39-46
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D. Averna, E. Tornatore , Ordinary \((p_1,..., p_m)\)-Laplacian systems with mixed boundary value conditions, Nonlinear Anal. Real World Appl., 28 (2016), 20-31
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X. J. Yang, J. A. Tenreiro Machado, J. J. Nieto, A new family of the local fractional PDEs, Fundamenta Informaticae, (accepted), -
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X. J. Yang, J. A. Tenreiro Machado, H. M. Srivastava, A new numerical technique for solving the local fractional diffusion equation: two-dimensional extended differential transform approach, Appl. Math. Comput., 274 (2016), 143-151
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Y. Zhou, Basic theory of fractional differential equations, World Scientific Publishing Co. Pte. Ltd., Hackensack (2014)
]
Essential norm of weighted composition operators from \(H^\infty\) to the Zygmund space
Essential norm of weighted composition operators from \(H^\infty\) to the Zygmund space
en
en
Let \(\varphi\) be an analytic self-map of the unit disk \(\mathbb{D}\) and \(u \in H(\mathbb{D})\), the space of analytic functions on \(\mathbb{D}\). The
weighted composition operator, denoted by \(uC_\varphi\), is defined by \((uC_\varphi f)(z) = u(z)f(\varphi(z)); f \in H(\mathbb{D}); z \in \mathbb{D}.\)
In this paper, we give three different estimates for the essential norm of the operator \(uC_\varphi\) from \(H^\infty\) into the
Zygmund space, denoted by \(\mathcal{Z}\). In particular, we show that\(\|uC_\varphi\|_{e,H^\infty\rightarrow \mathcal{Z}} \approx \limsup_{n\rightarrow\infty}\|u\varphi^n\|_\mathcal{Z}\).
5082
5092
Qinghua
Hu
Department of Mathematics
Shantou University
China
hqhmath@sina.com
Xiangling
Zhu
Department of Mathematics
Jiaying University
China
jyuzxl@163.com
Zygmund space
essential norm
weighted composition operator.
Article.11.pdf
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[1]
B. R. Choe, H. Koo, W. Smith, Composition operators on small spaces, Integral Equations Operator Theory, 56 (2006), 357-380
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F. Colonna, S. Li , Weighted composition operators from \(H^\infty\) into the Zygmund spaces, Complex Anal. Oper. Theory, 7 (2013), 1495-1512
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K. Esmaeili, M. Lindström, Weighted composition operators between Zygmund type spaces and their essential norms, Integral Equations Operator Theory, 75 (2013), 473-490
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S. Li, S. Stević, Generalized composition operators on Zygmund spaces and Bloch type spaces, J. Math. Anal. Appl., 338 (2008), 1282-1295
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S. Li, S. Stević, Weighted composition operators from Zygmund spaces into Bloch spaces, Appl. Math. Comput., 206 (2008), 825-831
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S. Li, S. Stević, Products of composition and differentiation operators from Zygmund spaces to Bloch spaces and Bers spaces, Appl. Math. Comput., 217 (2010), 3144-3154
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S. Stević, Weighted differentiation composition operators from the mixed-norm space to the nth weighted-type space on the unit disk, Abstr. Appl. Anal., 2010 (2010), 1-15
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Y. Yu, Y. Liu, Weighted differentiation composition operators from \(H^\infty\) to Zygmund spaces, Integral Transforms Spec. Funct., 22 (2011), 507-520
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R. Zhao, Essential norms of composition operators between Bloch type spaces, Proc. Amer. Math. Soc., 138 (2010), 2537-2546
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]
Positive solutions for some Riemann-Liouville fractional boundary value problems
Positive solutions for some Riemann-Liouville fractional boundary value problems
en
en
We study the existence and global asymptotic behavior of positive continuous solutions to the following
nonlinear fractional boundary value problem
\[
(p_\lambda)
\begin{cases}
D^\alpha u(t)=\lambda f(t,u(t)),\,\,\,\,\, t\in (0,1),\\
\lim_{t\rightarrow 0^+}t^{2-\alpha} u(t)=\mu, \quad u(1)=\nu,
\end{cases}
\]
where \(1 < \alpha\leq 2; D^\alpha\) is the Riemann-Liouville fractional derivative, and \(\lambda,\mu\) and \(\nu\) are nonnegative constants
such that \(\mu + \nu > 0\).
Our purpose is to give two existence results for the above problem, where \(f(t; s)\) is a nonnegative
continuous function on \((0; 1)\times[0;\infty)\); nondecreasing with respect to the second variable and satisfying some
appropriate integrability condition. Some examples are given to illustrate our existence results.
5093
5106
Imed
Bachar
Mathematics Department, College of Science
King Saud University
Saudi Arabia
abachar@ksu.edu.sa
Habib
Mâagli
Department of Mathematics, College of Sciences and Arts
Department of Mathematics
Rabigh Campus, King Abdulaziz University
Faculte des Sciences de Tunis, Campus Universitaire
Saudi Arabia
Tunisia
abobaker@kau.edu.sa;habib.maagli@fst.rnu.tn
Fractional differential equation
positive solutions
Green's function
perturbation arguments
Schäuder fixed point theorem.
Article.12.pdf
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G. Molica Bisci, D. Repovs, Existence and localization of solutions for nonlocal fractional equations, Asymptot. Anal., 90 (2014), 367-378
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X. Zhang, L. Liu, Y. Wu, Multiple positive solutions of a singular fractional differential equation with negatively perturbed term, Math. Comput. Modelling, 55 (2012), 1263-1274
]
A new integrable symplectic map and the lie point symmetry associated with nonlinear lattice equations
A new integrable symplectic map and the lie point symmetry associated with nonlinear lattice equations
en
en
A discrete matrix spectral problem is proposed, the hierarchy of discrete integrable system is inferred,
which are Liouville integrable. And the Hamiltonian structures of the hierarchy are constructed. A family of
finite-dimensional completely integrable systems and a new integrable symplectic map are provided in terms
of the binary nonlinearity of spectral problem. In particular, two explicit formulations are acquired under
the condition of the bargmann constraints. After that, the symmetry of the discrete integrable systems is
given on the basis of the seed symmetry and its prolongation. Moreover, the solution of the discrete lattice
equation can be gained by the way of the infinitesimal generator.
5107
5118
Huanhe
Dong
College of Mathematics and Systems Science
Shandong University of Science and Technology
Key Laboratory for Robot and Intelligent Technology of Shandong Province
P. R. China
P. R. China
dhhshh@163.com
Tingting
Chen
College of Mathematics and Systems Science
Shandong University of Science and Technology
P. R. China
tingting911122@163.com
Longfei
Chen
School of Economics
Shanghai University
P. R. China
chenlf0222@126.com
Yong
Zhang
College of Mathematics and Systems Science
Shandong University of Science and Technology
P. R. China
yzhang19900402@163.com
Symplectic map
symmetry
discrete integrable system
liouville integrability
nonlinearization.
Article.13.pdf
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]
Convergence theorems for mixed type asymptotically nonexpansive mappings in the intermediate sense
Convergence theorems for mixed type asymptotically nonexpansive mappings in the intermediate sense
en
en
We provide a new two-step iteration scheme of mixed type for two asymptotically nonexpansive self
mappings in the intermediate sense and two asymptotically nonexpansive non-self mappings in the intermediate sense and establish some strong and weak convergence theorems for mentioned scheme and mappings
in uniformly convex Banach spaces. Our results extend and generalize the corresponding results of Chidume
et al. [C. E. Chidume, E. U. Ofoedu, H. Zegeye, J. Math. Anal. Appl., 280 (2003), 364-374] and [C. E.
Chidume, N. Shahzad, H. Zegeye, Numer. Funct. Anal. Optim., 25 (2004), 239-257], Guo et al. [W. Guo,
W. Guo, Appl. Math. Lett., 24 (2011), 2181-2185] and [W. Guo, Y. J. Cho, W. Guo, Fixed Point Theory
Appl., 2012 (2012), 15 pages], Saluja [G. S. Saluja, J. Indian Math. Soc. (N.S.), 81 (2014), 369-385], Schu
[J. Schu, Bull. Austral. Math. Soc., 43 (1991), 153-159], Tan and Xu [K. K. Tan, H. K. Xu, J. Math. Anal.
Appl., 178 (1993), 301-308], Wang [L. Wang, J. Math. Anal. Appl., 323 (2006), 550-557], Wei and Guo
[S. I. Wei, W. Guo, Commun. Math. Res., 31 (2015), 149-160] and [S. Wei, W. Guo, J. Math. Study, 48
(2015), 256-264].
5119
5135
Gurucharan S.
Saluja
Department of Mathematics
Govt. N. P. G. College of Science
India
saluja1963@gmail.com
Mihai
Postolache
Department of Mathematics & Informatics
China Medical University
University "Politehnica" of Bucharest
Taiwan
Romania
mihai@mathem.pub.ro
Adrian
Ghiura
Department of Mathematics & Informatics
University
Romania
adrianghiura25@gmail.com
Asymptotically nonexpansive self and non-self mapping in intermediate sense
new two-step iteration scheme of mixed type
common fixed point
uniformly convex Banach space
strong convergence
weak convergence.
Article.14.pdf
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[1]
R. Bruck, T. Kuczumow, S. Reich, Convergence of iterates of asymptotically nonexpansive mappings in Banach spaces with the uniform Opial property, Colloq. Math., 65 (1993), 169-179
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C. E. Chidume, E. U. Ofoedu, H. Zegeye, Strong and weak convergence theorems for asymptotically nonexpansive mappings, J. Math. Anal. Appl., 280 (2003), 364-374
##[3]
C. E. Chidume, N. Shahzad, H. Zegeye, Convergence theorems for mappings which are asymptotically nonexpansive in the intermediate sense, Numer. Funct. Anal. Optim., 25 (2004), 239-257
##[4]
J. García Falset, W. Kaczor, T. Kuczumow, S. Reich, Weak convergence theorems for asymptotically nonexpansive mappings and semigroups, Nonlinear Anal., 43 (2001), 377-401
##[5]
W. Guo, Y. J. Cho, W. Guo, Convergence theorems for mixed type asymptotically nonexpansive mappings, Fixed Point Theory and Appl., 2012 (2012), 1-15
##[6]
W. Guo, W. Guo, Weak convergence theorems for asymptotically nonexpansive nonself-mappings, Appl. Math. Lett., 24 (2011), 2181-2185
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Z. Opial, Weak convergence of the sequence of successive approximations for nonexpansive mappings, Bull. Amer. Math. Soc., 73 (1967), 591-597
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G. S. Saluja, Convergence theorems for two asymptotically nonexpansive non-self mappings in uniformly convex Banach spaces, J. Indian Math. Soc. (N.S.), 81 (2014), 369-385
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J. Schu, Weak and strong convergence to fixed points of asymptotically nonexpansive mappings, Bull. Austral. Math. Soc., 43 (1991), 153-159
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K. Sitthikul, S. Saejung, Convergence theorems for a finite family of nonexpansive and asymptotically nonexpansive mappings, Acta Univ. Palack. Olomuc. Fac. Rerum Natur. Math., 48 (2009), 139-152
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W. Takahashi, G. E. Kim, Approximating fixed points of nonexpansive mappings in Banach spaces, Math. Japon., 48 (1998), 1-9
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K. K. Tan, H. K. Xu, Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process, J. Math. Anal. Appl., 178 (1993), 301-308
##[13]
L. Wang, Strong and weak convergence theorems for common fixed point of nonself asymptotically nonexpansive mappings, J. Math. Anal. Appl., 323 (2006), 550-557
##[14]
S. I. Wei, W. Guo, Strong convergence theorems for mixed type asymptotically nonexpansive mappings, Commun. Math. Res., 31 (2015), 149-160
##[15]
S. Wei, W. Guo, Weak convergence theorems for mixed type asymptotically nonexpansive mappings, J. Math. Study, 48 (2015), 256-264
]
On Some Classical Soft Intersection Properties
On Some Classical Soft Intersection Properties
en
en
In this paper, we investigate on the finite soft intersection property of a family of soft sets that is indexed
by another soft set, so that such family is represented by a soft set-valued map. We show that the finite
soft intersection property is characterized by some appropriate conditions on such maps.
5136
5142
Parin
Chaipunya
KMUTTFixed Point Research Laboratory, Department of Mathematics, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Faculty of Science
King Mongkut’s University of Technology Thonburi (KMUTT)
Thailand
parin.cha@mail.kmutt.ac.th
Poom
Kumam
KMUTTFixed Point Research Laboratory, Department of Mathematics, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Faculty of Science
KMUTT-Fixed Point Theory and Applications Research Group (KMUTT-FPTA), Theoretical and Computational Science Center (TaCS), Science Laboratory Building, Faculty of Science
King Mongkut’s University of Technology Thonburi (KMUTT)
King Mongkut’s University of Technology Thonburi (KMUTT)
Thailand
Thailand
poom.kum@kmutt.ac.th
Soft set
soft intersection
soft topological space
soft connectedness.
Article.15.pdf
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[1]
U. Acar, F. Koyuncu, B. Tanay, Soft sets and soft rings, Comput. Math. Appl., 59 (2010), 3458-3463
##[2]
B. Ahmad, A. Kharal, On fuzzy soft sets, Adv. Fuzzy Syst., 2009 (2009), 1-6
##[3]
H. Aktaş, N. Çağman, Soft sets and soft groups, Inform. Sci., 177 (2007), 2726-2735
##[4]
K. Alhazaymeh, N. Hassan, Interval-valued vague soft sets and its application, Adv. Fuzzy Syst., 2012 (2012), 1-7
##[5]
S. Alkhazaleh, A. R. Salleh, N. Hassan, Possibility fuzzy soft set, Adv. Decis. Sci., 2011 (2011), 1-18
##[6]
M. I. Ali, F. Feng, X. Liu, W. K. Min, M. Shabir, On some new operations in soft set theory, Comput. Math. Appl., 57 (2009), 1547-1553
##[7]
M. Bashir, A. R. Salleh, S. Alkhazaleh, Possibility intuitionistic fuzzy soft set, Adv. Decis. Sci., 2012 (2012), 1-24
##[8]
N. Çağman, S. Karatas, S. Enginoglu, Soft topology, Comput. Math. Appl., 62 (2011), 351-358
##[9]
F. Feng, X. Liu, V. Leoreanu-Fotea, Y. B. Jun, Soft sets and soft rough sets, Inform. Sci., 181 (2011), 1125-1137
##[10]
S. Hussain, B. Ahmad, Some properties of soft topological spaces, Comput. Math. Appl., 62 (2011), 4058-4067
##[11]
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Common fixed point theorems for a class of maps of \(\Phi\)-contraction in generalized metric spaces
Common fixed point theorems for a class of maps of \(\Phi\)-contraction in generalized metric spaces
en
en
In this paper, we prove a new common fixed point theorem for three pair of weakly compatible mappings
satisfying \(\phi\)-contractive condition in the framework of generalized metric spaces. It is worth mentioning that
our results do not rely on continuity of mappings involved therein. The main result of the paper generalizes
several comparable results from the current literature. We also provide illustrative examples in support of
our new results.
5143
5156
Feng
Gu
Institute of Applied Mathematics and Department of Mathematics
Hangzhou Normal University
China
gufeng_99@sohu.com
Yun
Yin
Zhanjiang No.2 Middle School
China
497308798@qq.com
Generalized metric space
\(\phi\)-contraction
common fixed point
weakly compatible mappings.
Article.16.pdf
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