Results 11 to 20 of about 4,206,969 (256)
Existence of best proximity pairs and equilibrium pairs [PDF]
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
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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 +6 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
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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
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Existence of Coupled Best Proximity Points of p-Cyclic Contractions
Axioms, 2021 We generalize the notion of coupled fixed (or best proximity) points for cyclic ordered pairs of maps to p-cyclic ordered pairs of maps. We find sufficient conditions for the existence and uniqueness of the coupled fixed (or best proximity) points.
Miroslav Hristov +3 more
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Best Proximity Pairs for Upper Semicontinuous Set-Valued Maps in Hyperconvex Metric Spaces [PDF]
Fixed Point Theory and Applications, 2009 A best proximity pair for a set-valued map F:A⊸B with respect to a map g:A→A is defined, and new existence theorems of best proximity pairs for upper semicontinuous set-valued maps with respect to a homeomorphism are proved in hyperconvex ...
R. P. Agarwal +3 more
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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
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Existence and Convergence of Best Proximity Points for Semi Cyclic Contraction Pairs [PDF]
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.
Balwant Singh Thakur, Ajay Sharma
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Weak proximal normal structure and coincidence quasi-best proximity points [PDF]
Applied General Topology, 2020 We introduce the notion of pointwise cyclic-noncyclic relatively nonexpansive pairs involving orbits. We study the best proximity point problem for this class of mappings.
Farhad Fouladi +2 more
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Uniqueness of best proximity pairs and rigidity of semimetric spaces
Journal of Fixed Point Theory and Applications, 2022 32 pages, 10 ...
Ruslan Shanin, Oleksiy Dovgoshey
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