International Scientific Research PublicationsJournal of Mathematics and Computer Science(JMCS) ISSN 2008-949X18220180112On \((\alpha, p)\)-convex contraction and asymptotic regularity132145http://dx.doi.org/10.22436/jmcs.018.02.01ENM. S. KhanDepartment of Mathematics and Statistics, Sultan Qaboos University, P. O. Box 36, PCode 123 Al-Khod, Muscat, Sultanate of Oman, OmanY. Mahendra SinghDepartment of Humanities and Basic Sciences, Manipur Institute of Technology, Takyelpat-795001, IndiaGeorgeta ManiuDepartment of Computer Science, Information Technology, Mathematics and Physics, Petroleum-Gas University of Ploiesti, Bucuresti Bvd., No. 39, 100680 Ploiesti, RomaniaMihai PostolacheChina Medical University, Taichung, TaiwanIn this paper, we present the notions of \((\alpha, p)\)-convex
contraction (resp. \((\alpha, p)\)-contraction) and asymptotically
\(T^2\)-regular (resp. \((T, T^2)\)-regular) sequences, and prove fixed
point theorems in the setting of metric spaces. http://www.isr-publications.com/jmcs/6644/download-on-alpha-p-convex-contraction-and-asymptotic-regularityInternational Scientific Research PublicationsJournal of Mathematics and Computer Science(JMCS) ISSN 2008-949X18220180121R-robustly measure expansive homoclinic classes are hyperbolic146153http://dx.doi.org/10.22436/jmcs.018.02.02ENManseob LeeDepartment of Mathematics, Mokwon University, Daejeon, 302-729, KoreaLet \(f:M\to M\) be a diffeomorphism on a closed smooth \(n(n\geq
2)\)-dimensional manifold \(M\) and let \(p\) be a hyperbolic periodic
point of \(f\).
We show that if the homoclinic class \(H_f(p)\) is R-robustly measure expansive then it is hyperbolic. http://www.isr-publications.com/jmcs/6672/download-r-robustly-measure-expansive-homoclinic-classes-are-hyperbolicInternational Scientific Research PublicationsJournal of Mathematics and Computer Science(JMCS) ISSN 2008-949X18220180126Dynamical analysis on prey refuge in a predator-prey model with square root functional response154162http://dx.doi.org/10.22436/jmcs.018.02.03ENLiujuan ChenDepartment of Science Training, Fujian Institute of Education, Fuzhou, Fujian, 350025, P. R. ChinaYiqin WangDepartment of Science Training, Fujian Institute of Education, Fuzhou, Fujian, 350025, P. R. ChinaIn this paper, we consider a predator-prey model with square root functional response and prey refuge. The study reveals that the dynamical behavior near the origin of the model is subtle and interesting. We also show that the model undergoes Transcritical bifurcation and Hopf bifurcation. Numerical simulations not only illustrate our results, but also exhibit richer dynamical behaviors of the model than those with Holling II type functional response. Taking prey refuge as control variable, it is feasible to decrease predation rate and then control predator density properly so as to avoid two of population extinction and promote coexistence.http://www.isr-publications.com/jmcs/6694/download-dynamical-analysis-on-prey-refuge-in-a-predator-prey-model-with-square-root-functional-responseInternational Scientific Research PublicationsJournal of Mathematics and Computer Science(JMCS) ISSN 2008-949X18220180126Multi-valued tripled fixed point results via CLR property in metric spaces with application163174http://dx.doi.org/10.22436/jmcs.018.02.04ENMuhammad ShoaibDepartment of Mathematics, University of Malakand, Chakdara Dir(L), Pakistan.Muhammad SarwarDepartment of Mathematics, University of Malakand, Chakdara Dir(L), Pakistan.YongjinLiDepartment of Mathematics Sun Yat-sen University, Guangzhou, Guangdong, ChinaIn this work, using CLR property, tripled coincidence and
common fixed point theorems for hybrid pair of
mappings are studied. As an application, existence of solution to the system of integral equation is also discussed.http://www.isr-publications.com/jmcs/6695/download-multi-valued-tripled-fixed-point-results-via-clr-property-in-metric-spaces-with-applicationInternational Scientific Research PublicationsJournal of Mathematics and Computer Science(JMCS) ISSN 2008-949X18220180128Solving fuzzy matrix games through a ranking value function method175183http://dx.doi.org/10.22436/jmcs.018.02.05ENDong QiuCollege of Science, Chongqing University of Post and Telecommunication, Chongqing, 400065, P. R. ChinaYumei XingCollege of Science, Chongqing University of Post and Telecommunication, Chongqing, 400065, P. R. ChinaShuqiao ChenCollege of Science, Chongqing University of Post and Telecommunication, Chongqing, 400065, P. R. ChinaThe objective of this paper is to establish the
bi-matrix games with crisp payoffs based on ranking value function method. We obtain that the equilibrium solution of the game model can be translated into the optimal solution of the non-linear programming problem. Finally, to illustrate the effectiveness and correctness of the obtained model, an example is provided. http://www.isr-publications.com/jmcs/6700/download-solving-fuzzy-matrix-games-through-a-ranking-value-function-methodInternational Scientific Research PublicationsJournal of Mathematics and Computer Science(JMCS) ISSN 2008-949X18220180128Common fixed point theorems for non-self mappings of nonlinear contractive maps in convex metric spaces184191http://dx.doi.org/10.22436/jmcs.018.02.06ENKanayo Stella EkeDepartment of Mathematics, Covenant University, Canaanland, KM 10 Idiroko Road, P. M. B. 1023, Ota, Ogun State, NigeriaBijan DavvazDepartment of Mathematics, Yazd University, Yazd, IranJimevwo Godwin OghonyonDepartment of Mathematics, Covenant University, Canaanland, KM 10 Idiroko Road, P. M. B. 1023, Ota, Ogun State, NigeriaIn this paper, we introduce a class of nonlinear contractive
mappings in metric space. We also establish common fixed point
theorems for these pair of non-self mappings satisfying the
new contractive conditions in the convex metric space . An example
is given to validate our results. The results generalize and
extend some results in literature.http://www.isr-publications.com/jmcs/6701/download-common-fixed-point-theorems-for-non-self-mappings-of-nonlinear-contractive-maps-in-convex-metric-spacesInternational Scientific Research PublicationsJournal of Mathematics and Computer Science(JMCS) ISSN 2008-949X18220180128Adaptive strategies for system of fuzzy differential equation: application of arms race model192205http://dx.doi.org/10.22436/jmcs.018.02.07ENSankar Prasad MondalDepartment of Mathematics, Midnapore College (Autonomous), Midnapore, West Midnapore-721101, West Bengal, IndiaNajeeb Alam KhanDepartment of Mathematics, University of Karachi, Karachi 75270, PakistanOyoon Abdul RazzaqDepartment of Humanities and Natural Sciences, Bahria University, Karachi 75260, PakistanTapan Kumar RoyDepartment of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah-03, West Bengal, IndiaThe paper presents adaptive stratagems to scrutinize the system of first order fuzzy differential equations (SFDE) in two modes, fuzzy and in crisp sense. Its fuzzy solutions are carried out using two approaches, namely, Zadeh's extension principle and generalized Hukuhara derivative (gH-derivative). While, different defuzzification techniques; central of area method (COA), bisector of area method (BOA), largest of maxima (LOM), smallest of maxima (SOM), mean of maxima (MOM), regular weighted point method (RWPM), graded mean integration value (GMIV), and center of approximated interval (COAI), are employed to discuss the crisp solutions. Moreover, the arms race model (ARM), which have a significant implication in international military planning, are pragmatic examples of system of first order differential equations, but not studied in fuzzy sense, hitherto. Therefore, ARM is re-established and studied here with fuzzy numbers to estimate its uncertain parameters, as a practical utilization of SFDE. Additionally, an illustrative example of ARM is undertaken to clarify the appropriateness of the proposed approaches. http://www.isr-publications.com/jmcs/6706/download-adaptive-strategies-for-system-of-fuzzy-differential-equation-application-of-arms-race-modelInternational Scientific Research PublicationsJournal of Mathematics and Computer Science(JMCS) ISSN 2008-949X18220180128Fuzzy fixed point results of generalized almost F-contraction206215http://dx.doi.org/10.22436/jmcs.018.02.08ENAbdullah Eqal Al-MazrooeiDepartment of Mathematics, University of Jeddah, P. O. Box 80327, Jeddah 21589, Saudi ArabiaJamshaid AhmadDepartment of Mathematics, University of Jeddah, P. O. Box 80327, Jeddah 21589, Saudi ArabiaThe aim of this paper is to obtain some common \(\alpha \)-fuzzy fixed points
for fuzzy mappings under almost \(F\)-contraction in the setting of metric
space. In this way we generalize, unify, and complement fuzzy fixed point
results of literature. As an application, we derive some multivalued fixed
point theorems as a direct consequence of our main results. We also provide
a non trivial example to show the significance of the investigation of this
paper. http://www.isr-publications.com/jmcs/6708/download-fuzzy-fixed-point-results-of-generalized-almost-f-contractionInternational Scientific Research PublicationsJournal of Mathematics and Computer Science(JMCS) ISSN 2008-949X18220180201Common fixed point theorems for two pairs of self-mappings in partial metric space using \(C\)-class functions on \((\psi,\varphi)\)-contractive condition216231http://dx.doi.org/10.22436/jmcs.018.02.09ENZead MustafaDepartment of Mathematics, Statistics and Physics, Qatar University, Doha-QatarM. M. M. JaradatDepartment of Mathematics, Statistics and Physics, Qatar University, Doha-QatarArslan AnsariDepartment of Mathematics, Karaj Branch, Islamic Azad University, Karaj, IranFeng GuInstitute of Applied Mathematics and Department of Mathematics, Hangzhou Normal University, Hangzhou, Zhejiang 310036, ChinaHui-hui ZhengInstitute of Applied Mathematics and Department of Mathematics, Hangzhou Normal University, Hangzhou, Zhejiang 310036, ChinaStojan RadenovićFaculty of Mechanical Engineering, University of Belgrade, SerbiaM. S. BatainehDepartment of Mathematics, University of Sharjah, Sharjah, United Arab EmiratesThe purpose of this paper is to introduce common fixed point results for two pairs of weakly compatible self-mappings in partial metric space using \(C\)-class functions on \((\psi,\varphi)\)-contractive condition. Example and application on integral equations are presented to illustrate the main result. Our results extend and generalize well know results in the literature. http://www.isr-publications.com/jmcs/6734/download-common-fixed-point-theorems-for-two-pairs-of-self-mappings-in-partial-metric-space-using-c-class-functions-on-psivarphi-contractive-conditionInternational Scientific Research PublicationsJournal of Mathematics and Computer Science(JMCS) ISSN 2008-949X18220180201Bitopological spaces on undirected graphs232241http://dx.doi.org/10.22436/jmcs.018.02.10ENKhalid Abdulkalek AbduDepartment of Mathematics, University Putra Malaysia (UPM), 4300 Serdang, Selangor, Malaysia and Department of Accounting, Al-Iraqia University, Adhmia, Baghdad, IraqAdem KilicmanDepartment of Mathematics, University Putra Malaysia (UPM), 4300 Serdang, Selangor, Malaysia The aim of this article is to associate a bitopological space with every locally finite graph G (a graph in which every vertex is adjacent with finite number of edges). Then some properties of this bitopological space were investigated. After that, connectedness and dense subsets were discussed. Giving a fundamental step toward studying some properties of locally finite graphs by their corresponding bitopological spaces is our motivation.http://www.isr-publications.com/jmcs/6735/download-bitopological-spaces-on-undirected-graphsInternational Scientific Research PublicationsJournal of Mathematics and Computer Science(JMCS) ISSN 2008-949X18220180202On a subclass of meromorphically starlike functions with two fixed positive coefficients242247http://dx.doi.org/10.22436/jmcs.018.02.11ENDanyal SoybaşDepartment of Mathematics Education, Faculty of Education, Erciyes University, Kayseri 38039, TurkeySantosh JoshiDepartment of Mathematics, Walchand College of Engineering, Sangli 416415, IndiaHaridas PawarSVERI's College of Engineering Pandharpur, Pandharpur 413304, IndiaIn this paper we obtain coefficient inequalities for the subclass of meromorphic univalent functions with two fixed positive coefficients defined in punctured unit disc. We have studied basic properties such as coefficient estimates, radius of convexity, and closure theorems. http://www.isr-publications.com/jmcs/6739/download-on-a-subclass-of-meromorphically-starlike-functions-with-two-fixed-positive-coefficientsInternational Scientific Research PublicationsJournal of Mathematics and Computer Science(JMCS) ISSN 2008-949X18220180216Bounded and sequential \(\sigma\)-approximate amenability of Banach algebras248254http://dx.doi.org/10.22436/jmcs.018.02.12ENMohammad AbolghasemiDepartment of Mathematics, Faculty of Sciences, Razi University, 67149 Kermanshah, IranMohsen Amini KhoeiDepartment of Mathematics, Faculty of Sciences, Razi University, 67149 Kermanshah, IranIn this paper, we study the notions of bounded
\(\sigma\)-approximate amenability and sequential
\(\sigma\)-approximate
amenability for Banach algebras, where \(\sigma\) is a continuous homomorphism of the corresponding Banach algebra.
Also, we discuss some hereditary properties of these concepts.http://www.isr-publications.com/jmcs/6789/download-bounded-and-sequential-sigma-approximate-amenability-of-banach-algebras