Results 21 to 30 of about 63,623 (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 𝔄𝐜κ-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

Markov–Kakutani’s theorem for best proximity pairs in Hadamard spaces

Indagationes Mathematicae, 2017
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Moosa Gabeleh
exaly   +4 more sources

t-Best Proximity Pair in Fuzzy Normed Spaces

Journal of Mathematical Extension, 2014
This study has considered the problem of finding best proximity pair in fuzzy metric spaces and uniformly convex fuzzy Banach spaces for fuzzy cyclic contraction map. We prove the uniqueness of this point in uniformly fuzzy Banach spaces. We also give
H. R. Khademzadeh, H. Mazaheri
doaj   +1 more source

A characterization of weak proximal normal structure and best proximity pairs [PDF]

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2022
The aim of this paper is to address an open problem given in [Kirk, W. A., Shahzad, Naseer, Normal structure and orbital fixed point conditions, J. Math. Anal. Appl. {\bf{vol 463(2)}}, (2018) 461--476]. We give a characterization of weak proximal normal structure using best proximity pair property.
Abhik Digar, Rafael Espínola García, G. Sankara Raju Kosuru   +2 more
openaire   +4 more sources

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, Sang-Ho Kum
openaire   +1 more source

Bipartite graphs and best proximity pairs

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 $G$
Chaira, Karim, Dovgoshey, Oleksiy, Lazaiz, Samih   +2 more
openaire   +3 more sources

Best proximity point (pair) results via MNC in Busemann convex metric spaces

Applied General Topology, 2022
In this paper, we present a new class of cyclic (noncyclic) α-ψ and β-ψ condensing operators and survey the existence of best proximity points (pairs) as well as coupled best proximity points (pairs) in the setting of reflexive Busemann convex spaces ...
Moosa Gabeleh, Pradip Ramesh Patle
doaj   +1 more source

Best proximity point results and application to a system of integro-differential equations

Advances in Difference Equations, 2021
In this work, we solve the system of integro-differential equations (in terms of Caputo–Fabrizio calculus) using the concepts of the best proximity pair (point) and measure of noncompactness.
Anupam Das, Hemant Kumar Nashine, Rabha W. Ibrahim, Manuel De la Sen   +3 more
doaj   +1 more source

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.
Gabeleh Moosa, Künzi Hans-Peter A.
openaire   +2 more sources

Proximity Point Results for Generalized p-Cyclic Reich Contractions: An Application to Solving Integral Equations

Mathematics, 2023
This article studies new classes of contractions called the p-cyclic Reich contraction and p-cyclic Reich contraction pair and develops certain best proximity point results for such contractions in the setting of partial metric spaces.
Hind Alamri, Nawab Hussain, Ishak Altun
doaj   +1 more source