Results 21 to 30 of about 385,892 (273)
Cyclic pairs and common best proximity points in uniformly convex Banach spaces
Open Mathematics, 2017 Abstract 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 spaces.
Gabeleh, Moosa +3 more
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Corrigendum to the paper “Equivalence of the existence of best proximity points and best proximity pairs for cyclic and noncyclic nonexpansive mappings” [PDF]
Demonstratio Mathematica, 2021 Abstract The purpose of this short note is to present a correction of the proof of the main result given in the paper “Equivalence of the existence of best proximity points and best proximity pairs for cyclic and noncyclic nonexpansive mappings,” Demonstr. Math. 53 (2020), 38–43.
Gabeleh Moosa
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Common best proximity points for a pair of mappings with certain dominating property [PDF]
Demonstratio Mathematica, 2023 This article introduces a type of dominating property, partially inherited from L. Chen’s, and proves an existence and uniqueness theorem concerning common best proximity points.
Charoensawan Phakdi +2 more
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Existence of best proximity pairs and equilibrium pairs
Journal of Mathematical Analysis and Applications, 2006 AbstractIn this paper, using the fixed point theorem for Kakutani factorizable multifunctions, we shall prove new existence theorems of best proximity pairs and equilibrium pairs for free abstract economies, which include the previous fixed point theorems and equilibrium existence theorems.
Won Kyu Kim, Kyoung Hee Lee
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BEST PROXIMITY PAIRS AND NASH EQUILIBRIUM PAIRS [PDF]
Journal of the Korean Mathematical Society, 2008 Main purpose of this paper is to combine the optimal form of Fan's best approximation theorem and Nash's equilibrium existence theorem into a single existence theorem simultaneously. For this, we first prove a general best proximity pair theorem which includes a number of known best proximity theorems.
Won Kyu Kim, Sangho Kum
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On a generalization of a relatively nonexpansive mapping and best proximity pair [PDF]
Fixed Point Theory and Algorithms for Sciences and Engineering, 2023 Let A and B be two nonempty subsets of a normed space X, and let T : A ∪ B → A ∪ B $T: A \cup B \to A \cup B$ be a cyclic (resp., noncyclic) mapping.
Karim Chaira, Belkassem Seddoug
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Birkhoff-Kellogg and Best Proximity Pair Results [PDF]
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2006 The paper presents new Birkhoff-Kellogg type theorems for maps in the S-KKM class. Best proximity pair theorems are also established for the ad- missible class Aand the P K class. The paper discusses maps in the S-KKM class and in the admissible class A .
O'Regan, Donal +2 more
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Best Proximity Pair Theorems for Multifunctions with Open Fibres
Journal of Approximation Theory, 2000 AbstractLet A and B be non-empty subsets of a normed linear space, and f:A→B be a single valued function. A solution to the functional equation fx=x, (x∈A) will be an element xo in A such that fxo=xo (i.e., such that d(fx, x)=0). In the case of non-existence of a solution to the equation fx=x, it is natural to explore the existence of an optimal ...
S. Sadiq Basha, P. Veeramani
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Diameter Approximate Best Proximity Pair in Fuzzy Normed Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2019 The main purpose of this paper is to study the approximate best proximity pair of cyclic maps and their diameter in fuzzy normed spaces defined by Bag and Samanta. First, approximate best point proximity points on fuzzy normed linear spaces are defined and four general lemmas are given regarding approximate fixed point and approximate best proximity ...
S. A. M. Mohsenialhosseini +1 more
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Cyclic contractions and best proximity pair theorems
, 2010 This paper has been ...
Kosuru, G. Sankara Raju, Veeramani, P.
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