]>
2019
12
6
ISSN 2008-1898
0
A note on the topological transversality theorem for the admissible maps of Gorniewicz
A note on the topological transversality theorem for the admissible maps of Gorniewicz
en
en
In this paper we discuss
essential maps and the topological transversality theorem for maps
admissible with respect to Gorniewicz.
345
348
Donal
O'Regan
School of Mathematics, Statistics and Applied Mathematics
National University of Ireland
Ireland
donal.oregan@nuigalway.ie
Essential maps
homotopy
Article.1.pdf
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L. Górniewicz, Topological fixed point theory of multivalued mappings, Kluwer Academic Publishers, Dordrecht (1999)
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D. O’Regan, Generalized coincidence theory for set–valued maps, J. Nonlinear Sci. Appl., 10 (2017), 855-864
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]
Strong convergence theorems for mixed equilibrium problems and uniformly Bregman totally quasi-asymptotically nonexpansive mappings in reflexive Banach spaces
Strong convergence theorems for mixed equilibrium problems and uniformly Bregman totally quasi-asymptotically nonexpansive mappings in reflexive Banach spaces
en
en
The purpose of this paper is to suggest a new algorithm for finding a common solution of a mixed equilibrium problem and a common fixed point of uniformly Bregman totally quasi-asymptotically nonexpansive mappings in reflexive Banach spaces. The strong convergence theorems under suitable control conditions are proven.
349
362
Kittisak
Jantakarn
Department of Mathematics, Faculty of Science
Naresuan University
Thailand
kittisak93@hotmai.com
Anchalee
Kaewcharoen
Department of Mathematics, Faculty of Science
Naresuan University
Thailand
anchaleeka@nu.ac.th
Mixed equilibrium problems
Bregman totally quasi-asymptotically nonexpansive mappings
reflexive Banach spaces
Article.2.pdf
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V. Darvish, A new algorithm for mixed equilibrium problem and Bregman strongly nonexpansive mapping in Banach spaces, arXiv, 2015 (2015), 1-20
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S. Zhu, J. H. Huang, Strong convergence theorems for equilibrium problem and Bregman totally quasi-asymptotically nonexpansive mapping in Banach spaces, Acta Math. Sci. Ser. B (Engl. Ed.), 36 (2016), 1433-1444
]
Dissipativity and stability of a class of nonlinear multiple time delay integro-differential equations
Dissipativity and stability of a class of nonlinear multiple time delay integro-differential equations
en
en
This paper is concerned with the dissipativity and stability of the theoretical
solutions of a class of nonlinear multiple time
delay integro-differential equations. At the first, we give a generalized Halanay inequality which plays an important role
in the study of dissipativity and stability of integro-differential equations. Then, we apply the
generalized Halanay inequality to the dissipativity and the
stability the theoretical solution of delay integro-differential equations
(or by small \(\epsilon\) perturbed) and some interesting results are obtained. Our results generalize a few previous known results.
Finally, two examples are provided to demonstrated the effectiveness and advantage of the theoretical results.
363
375
Chaolong
Zhang
College of Computational Science
Zhongkai University of Agriculture and Engineering
P. R. China
handsomezcl@126.com
Feiqi
Deng
Systems Engineering Institute
South China University of Technology
P. R. China
aufqdeng@scut.edu.cn
Haoyi
Mo
School of Applied Mathematics
Guangdong University of Technology
P. R. China
mhy04@163.com
Hongwei
Ren
School of computer and electronic information
Guangdong University of Petrochemical Technology
P. R. China
rhw-6621@163.com
Delay integro-differential equations
dynamical systems
Halanay inequality
dissipativity
stability
Article.3.pdf
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]
Stable monotone iterative solutions to a class of boundary value problems of nonlinear fractional order differential equations
Stable monotone iterative solutions to a class of boundary value problems of nonlinear fractional order differential equations
en
en
We construct sufficient conditions for existence of extremal
solutions to boundary value problem (BVP) of nonlinear fractional order differential equations (NFDEs). By combing the method of lower and upper solution with the monotone iterative technique, we construct sufficient conditions for the iterative solutions to the problem under consideration. Some proper results related to Hyers-Ulam type stability are investigated. Base on the proposed method, we construct minimal and maximal solutions for the proposed problem. We also construct and provide maximum error estimates and test the obtain results by two examples.
376
386
Sajjad
Ali
Department of Mathematics
Abdul Wali Khan University of Mardan
Pakistan
sajjad_ali@sbbu.edu.pk
Muhammad
Arif
Department of Mathematics
Abdul Wali Khan University of Mardan
Pakistan
marifmaths@awkum.edu.pk
Durdana
Lateef
Department of Mathematics, College of Science
Taibah University
KSA
drdurdanamath@gmail.com
Mohammad
Akram
Department of Mathematics, Faculty of Science
Islamic University of Madinah
KSA
akramkhan_20@rediffmail.com
Nonlinear fractional differential equations
iterative technique
upper and lower solutions
uniqueness and existence
Article.4.pdf
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]
Algorithms for Hammerstein inclusions in certain Banach spaces
Algorithms for Hammerstein inclusions in certain Banach spaces
en
en
Let \(E\) be a reflexive smooth and strictly convex real Banach space. Let \(F: E\rightarrow 2^{E^*}\) and \(K: E^*\rightarrow E\) be bounded maximal monotone mappings such that \(D(F)=E\) and \(R(F)=D(K)=E^*\). Suppose that the Hammerstein inclusion \(0\in u+KFu \) has a solution in \(E\). We present in this paper a new algorithm for approximating solutions of the inclusion \(0\in u+KFu \).
Then we prove strong convergence theorems. Our theorems improve and unify most of the results that have been proved in this direction for this important class of nonlinear mappings. Furthermore,
our technique of proof is of independent interest.
387
404
Moustapha
Sene
Gaston Berger University
Senegal
ndolanesene@yahoo.fr
Mariama
Ndiaye
Gaston Berger University
Senegal
mariama-ndiaye.diakhaby@ugb.edu.sn
Ngalla
Djitte
Gaston Berger University
Senegal
ngalla.djitte@ugb.edu.sn
Hammerstein equation
monotone
iterative algorithm
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