Results 11 to 20 of about 65,457 (238)
Best Proximity Sets and Equilibrium Pairs for a Finite Family of Multimaps [PDF]
Fixed Point Theory and Applications, 2009 We establish the existence of a best proximity pair for which the best proximity set is nonempty for a finite family of multimaps whose product is either an ð”„ðÂœκ-multimap or a multimap T:A→2B such that both T and S∘T are closed ...
Naseer Shahzad, M. A. Al-Thagafi
doaj +4 more sources
Existence of best proximity pairs and equilibrium pairs
Journal of Mathematical Analysis and Applications, 2006 Using Lassonde's fixed point theorem for Kakutani factorizable multifunctions, the authors prove new existence theorems of best proximity pairs and equilibrium pairs for free abstract economies, which include previous fixed point theorems and equilibrium existence theorems.
Won Kyu Kim
exaly +3 more sources
Axioms, 2020 In this paper, we study a problem of global optimization using common best proximity point of a pair of multivalued mappings. First, we introduce a multivalued Banach-type contractive pair of mappings and establish criteria for the existence of their ...
Pradip Debnath, Hari Mohan Srivastava
doaj +3 more sources
Cyclic pairs and common best proximity points in uniformly convex Banach spaces
Open Mathematics, 2017 In this article, we survey the existence, uniqueness and convergence of a common best proximity point for a cyclic pair of mappings, which is equivalent to study of a solution for a nonlinear programming problem in the setting of uniformly convex Banach ...
Gabeleh Moosa +3 more
doaj +2 more sources
Markov–Kakutani’s theorem for best proximity pairs in Hadamard spaces
Indagationes Mathematicae, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Moosa Gabeleh
exaly +4 more sources
Uniqueness of best proximity pairs and rigidity of semimetric spaces
Journal of Fixed Point Theory and Applications, 2022 32 pages, 10 ...
Ruslan Shanin +2 more
exaly +4 more sources
Common best proximity pairs via the concept of complete proximal normal structure
Annals of Functional Analysis, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Moosa Gabeleh +2 more
exaly +3 more sources
On general best proximity pairs and equilibrium pairs in free abstract economies
Nonlinear Analysis: Theory, Methods & Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sangho Kum, Won Kyu Kim
exaly +3 more sources
Noncyclic Meir-Keeler contractions and best proximity pair theorems
Demonstratio Mathematica, 2018 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.
Gabeleh Moosa, Markin Jack
doaj +3 more sources
Some Results on the Best Proximity Pair [PDF]
Abstract and Applied Analysis, 2011 We give some new conditions for existence and uniqueness of best proximity point. We also introduce the concept of strongly proximity pair and give some interesting results.
Mohammad Reza Haddadi +1 more
openaire +2 more sources