Results 31 to 40 of about 488,813 (304)
Bipartite graphs and best proximity pairs [PDF]
Ukrainian Mathematical Bulletin, 2022 We say that a bipartite graph $G(A, B)$ with fixed parts $A$, $B$ is proximinal if there is a semimetric space $(X, d)$ such that $A$ and $B$ are disjoint proximinal subsets of $X$ and all edges $\{a, b\}$ satisfy the equality $d(a, b) = \operatorname{dist}(A, B)$. It is proved that a bipartite graph $G$ is not isomorphic to any proximinal graph iff $G$
Karim Chaira, O. Dovgoshey, Samih Lazaiz
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Existence of best proximity pairs and equilibrium pairs
Journal of Mathematical Analysis and Applications, 2005 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 in Fuzzy Normed Spaces [PDF]
Journal of Applied Sciences, 2012 Majid Abrishami Moghaddam
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On selections of the metric projection and best proximity pairs in hyperconvex spaces [PDF]
, 2005 In this work we present new results on nonexpansive retractions and best proximity pairs in hyperconvex metric spaces. We sharpen the main results of R. Esp´ınola et al. in [3] (Nonexpansive retracts in hyperconvex spaces, J. Math. Anal. Appl. 251 (2000)
Espínola García, Rafael
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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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Uniqueness of best proximity pairs and rigidity of semimetric spaces [PDF]
Journal of Fixed Point Theory and Applications, 2022 32 pages, 10 ...
Oleksiy Dovgoshey, Ruslan Shanin
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Best Proximity Pair Theorems for Noncyclic Mappings in Banach and Metric Spaces [PDF]
, 2016 Let A and B be two nonempty subsets of a metric space X. A mapping T : A[B ! A[B is said to be noncyclic if T(A) A and T(B) B. For such a mapping, a pair (x; y) 2 A B such that Tx = x, Ty = y and d(x; y) = dist(A;B) is called a best proximity ...
Fernández León, Aurora, Gabeleh, M.
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Equivalence of the existence of best proximity points and best proximity pairs for cyclic and noncyclic nonexpansive mappings [PDF]
Demonstratio Mathematica, 2020 AbstractIn this study, at first we prove that the existence of best proximity points for cyclic nonexpansive mappings is equivalent to the existence of best proximity pairs for noncyclic nonexpansive mappings in the setting of strictly convex Banach spaces by using the projection operator.
Moosa Gabeleh, Hans-Peter A. Künzi
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Cyclic contractions and best proximity pair theorems
, 2010 This paper has been ...
G. Sankara Raju Kosuru, P. Veeramani
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A Common Best Proximity Point Theorem for Ï•-dominated Pair
European Journal of Pure and Applied Mathematics, 2018 In the present research, an interesting common best proximity point theorem for pairs of non-self-mappings is presented. It satises a weakly contraction-like condition, thereby producing common optimal approximate solutions of certain simultaneous xed ...
Mahdi Iranmanesh, Ali Ganjbakhsh Sanatee
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