Zanco Publishing (Canada)Communications in Nonlinear Analysis2371-79207120191001PPF Dependent Fixed Points Of Generalized Contractions Via C_G-Simulation Functions11693044ENMadugulaVinod KumarDepartment of Mathematics, Andhra University, Visakhapatnam-530 003, IndiaGutti VenkataRavindranadh BabuDepartment of Mathematics, Andhra University, Visakhapatnam-530 003, IndiaJournal Article20190807In this paper, we introduce the notion of generalized Z<sub>G,α,μ,η,φ <sup>-</sup></sub>contraction<br />with respect to the C_G-simulation function introduced by Liu, Ansari, Chandok<br />and Radenovic [20] and prove the existence of PPF dependent fixed points in<br />Banach spaces. We draw some corollaries and an example is provided to illustrate<br />our main result.http://www.cna-journal.com/article_93044_2ca2e6eec039928c12e4075a9299be18.pdfZanco Publishing (Canada)Communications in Nonlinear Analysis2371-79207120191001Common Fixed Points of (α,Ψ,φ)- Almost Generalized Weakly Contractive Maps in S-metric spaces173593094ENGutti VenkataRavindranadh BabuDepartment of Mathematics, Andhra University, Visakhapatnam-530 003, INDIA.PericherlaDurga SailajaDepartment of Mathematics, Lendi Institute of Engineering and Technology, Vizianagaram-535 005, INDIA.GadhavajjalaSrichandanaDepartment of Mathematics, Andhra University, Visakhapatnam-530 003, INDIA.Department of Mathematics, Satya Institute of Technology and Management, Vizianagaram-535 002,
INDIA.Journal Article20190817In this paper, we introduce a pair of (α,Ψ,φ)-almost generalized weakly contractive maps in S-metric spaces and prove the existence and uniqueness of common fixed points of such maps under weakly compatible property. Our results extend and generalize the results of Babu and Leta to a pair of maps in S-metric spaces and also generalize the result of Sedghi, Shobe, and Aliouche. We provide examples in support of our results.http://www.cna-journal.com/article_93094_b8ee31268dfbbcd2b192e5b33d185046.pdfZanco Publishing (Canada)Communications in Nonlinear Analysis2371-79207120191001Fixed Point Results for Multivalued Operator in G-metric Space364992588ENSaurabhManroTejwantSinghDepartment of Mathematics, Desh Bhagat University, Mandi Gobindgarh, Punjab, IndiaANIMESHGuptaDepartment of Mathematics, Sagar Institute of Engineering, Technology and Research, Ratibad Bhopal (M.P.), IndiaRajvirKaurDepartment of Mathematics, Desh Bhagat University, IndiaJournal Article20190715In this paper, we shall give some results on xed points of multivalued operator on Gmetric spaces by using the method of Kikkawa [6]. Our results generalize and extend some old xed point theorems to the multivalued case.http://www.cna-journal.com/article_92588_297b7bc0b7f0b53ce2e9cf61d3a8d7f7.pdfZanco Publishing (Canada)Communications in Nonlinear Analysis2371-79207120191001Fixed points of involution mappings in convex uniform spaces505795378ENJoy ChinyereUmuduDepartment of Mathematics
Faculty of Natural Sciences
University of Jos
Jos
Plateau State
NigeriaJohnson OlajireOlaleruDepartment of Mathematics
Faculty of Science
University of Lagos
Akoka
Lagos State
NigeriaAdesanmi AlaoMogbademuDepartment of Mathematics
Faculty of Science
University of Lagos
Akoka
Lagos State
NigeriaJournal Article20191003In this paper, we study some fixed point theorems for self-mappings satisfying certain contraction principles on a $S$-complete convex Hausdorff uniform space, these theorems generalize previously obtained results in convex metric space and convex partial metric space.http://www.cna-journal.com/article_95378_b3d9c4f66423ff07064257a3241aed39.pdfZanco Publishing (Canada)Communications in Nonlinear Analysis2371-79207120191001Global Existence of Solutions for A Gierer-Meinhardt System with Two Activators and Two Inhibitors587295603ENSalemAbdelmalekDepartment of mathematics, University of Tebessa 12002 Algeria.0000-0001-9762-9654AbdelouahabGouadriaLarbi Tebessi UniversitySamirBendoukhaDepartment of Electrical Engineering, College of Engineering at Yanbu, Taibah University, Saudi ArabiaJournal Article20191005This paper deals with a Gierer-Meinhardt model with 2 activators and 2 inhibitors described by a reaction-diffusion system with fractional reactions. The purpose of this paper is to prove the existence of a global solution. Our technique is based on a suitable Lyapunov functional.http://www.cna-journal.com/article_95603_a35cbd670f2da34775bd7022f8128329.pdfZanco Publishing (Canada)Communications in Nonlinear Analysis2371-79207120191001Fixed point theorems on a quaternion-valued G-metric spaces738193096ENAdewaleKayodeDepartment of Mathematics, University of Lagos, Nigeria.JohnsonOlaleruDepartment of Mathematics, University of Lagos, Nigeria.HudsonAkeweDepartment of Mathematics, University of Lagos, Nigeria.Journal Article20190818In this paper, we introduce the concept of a quaternion-valued $G$-metric spaces which generalize real-valued $G$-metric spaces, complex-valued $G$-metric spaces, real-valued metric spaces and complex-valued metric spaces known in the literature. Analogous the Banach contraction principle, Kannan's and Chatterjea's fixed point theorem are proved. Our results generalize many known results in fixed point theory.http://www.cna-journal.com/article_93096_22894c30e6ddb9d1474a8f4bd5148c4a.pdfZanco Publishing (Canada)Communications in Nonlinear Analysis2371-79207120191001Some new common fixed point theorems for Geraghty contraction type maps in partial metric spaces738195504ENHamidFarajiJournal Article20190916In this paper, we prove some new common fixed point theorems for Geraghtys type contraction mappings on partial metric spaces. Theorems presented are <br /> generalizations of fixed point theorems of Altun et al. [Generalized Geraghty type mappings on partial metric spaces and fixed point results, Arab. J. Math. 2, (2013), no. 3, 247-253]. We also give some examples to illustrate the usability of the obtained resultshttp://www.cna-journal.com/article_95504_c82f43080fbb18931c63201ea6754839.pdfZanco Publishing (Canada)Communications in Nonlinear Analysis2371-79207120191001Convergence of CR-iteration procedure for a nonlinear quasi contractive map in convex metric spaces828896835ENGedalaSatyanaryanaDepartment of Mathematics, Andhra University, Visakhapatnam-530 003, IndiaGutti VenkataRavindranadh BabuDepartment of Mathematics, Andhra University, Visakhapatnam-530 003, IndiaJournal Article20190919We prove that the modified CR-iteration procedure converges strongly to a fixed point<br />of a generalized quasi contraction map in convex metric spaces which is the main result<br />of this paper. The convergence of Picard-S iteration procedure follows as a corollary to<br />our main result.http://www.cna-journal.com/article_96835_9571a69cecd393feffff35228982d57d.pdf