Results 31 to 40 of about 385,892 (273)

Noncyclic Meir-Keeler contractions and best proximity pair theorems

Demonstratio Mathematica, 2018
Abstract In this article, we consider the class of noncyclic Meir-Keeler contractions and study the existence and convergence of best proximity pairs for such mappings in the setting of complete CAT(0) spaces. We also discuss asymptotic pointwise noncyclic Meir-Keeler contractions in the framework of uniformly convex Banach spaces and ...
Jack Markin, Moosa Gabeleh
openaire   +3 more sources

Uniqueness of best proximity pairs and rigidity of semimetric spaces

Journal of Fixed Point Theory and Applications, 2022
32 pages, 10 ...
Oleksiy Dovgoshey, Ruslan Shanin
openaire   +4 more sources

Best proximity point theorems for cyclic p-contractions with some consequences and applications [PDF]

Nonlinear Analysis, 2021
In this paper, we introduce the concept of cyclic p-contraction pair for single-valued mappings. Then we present some best proximity point results for such mappings defined on proximally complete pair of subsets of a metric space.
Altun, Ishak, Aslantas, Mustafa, Sahin, Hakan   +2 more
core   +4 more sources

On general best proximity pairs and equilibrium pairs in free abstract economies

Nonlinear Analysis: Theory, Methods & Applications, 2008
Abstract In this paper, using Lassonde’s fixed point theorem for Kakutani factorizable multifunctions and Park’s fixed point theorem for acyclic factorizable multifunctions, we will prove new existence theorems for general best proximity pairs and equilibrium pairs for free abstract economies, which generalize the previous best proximity theorems and
Kyoung Hee Lee, Sangho Kum, Won Kyu Kim
openaire   +4 more sources

Modular best proximity and equilibrium pairs in free generalized games

Filomat, 2017
In this paper, we prove a fixed point theorem for ?-acyclic factorizable multifunction. Some existence theorems of general best proximity pairs and equilibrium pairs are presented in modular function spaces. Moreover, some equilibrium theorems are established for free generalized n-person game.
Farajollah Yaghoobi Mohammadi, Nasrin Karamikabir   +1 more
openaire   +3 more sources

Best proximity pair and fixed point results for noncyclic mappings in modular spaces

Arab Journal of Mathematical Sciences, 2018
In this paper, we formulate best proximity pair theorems for noncyclic relatively ρ-nonexpansive mappings in modular spaces in the setting of proximal ρ-admissible sets.
Karim Chaira, Samih Lazaiz
doaj   +2 more sources

A simulation function approach for optimization by approximate solutions with an application to fractional differential equation [PDF]

Nonlinear Analysis
In this work, we study the existence and uniqueness of a common best proximity point for a pair of nonself functions that are not necessarily continuous using the simulation function.
Lo\u27lo\u27, Parvaneh, Radenović, Stojan, Shams, Maryam   +2 more
core   +5 more sources

g-approximate best proximity pairs in metric space with a directed graph [PDF]

Let(X,d) be a metric space that has a directed graph G such that the sets V(G) and E(G) are respectively vertices and edges corresponding to X. We obtain sufficient conditions for the existence of an G-approximate best proximity pair of the mapping T in the metric space X endowed with a graph G such that the set V(G) of vertices of G coincides with X.
Mohsenialhosseini, Saheli
openaire   +3 more sources

On best proximity pairs with application to differential equations [PDF]

Fixed Point Theory, 2020
G. Sankara Raju Kosuru
openaire   +3 more sources

Existence and Convergence of Best Proximity Points for Semi Cyclic Contraction Pairs

International Journal of Analysis and Applications, 2014
In this article, we introduce the notion of a semi cyclic ϕ-contraction pair of mappings, which contains semi cyclic contraction pairs as a subclass. Existence and convergence results of best proximity points for semi cyclic ϕ- contraction pair of mappings are obtained.
Balwant Singh Thakur, Ajay Sharma
doaj   +4 more sources