Results 11 to 20 of about 4,213,432 (261)
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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Best Proximity Pair Results for Relatively Nonexpansive Mappings in Geodesic Spaces [PDF]
Numerical Functional Analysis and Optimization, 2014 Given $A$ and $B$ two nonempty subsets in a metric space, a mapping $T : A \cup B \rightarrow A \cup B$ is relatively nonexpansive if $d(Tx,Ty) \leq d(x,y) \text{for every} x\in A, y\in B.$ A best proximity point for such a mapping is a point $x \in A \cup B$ such that $d(x,Tx)=\text{dist}(A,B)$.
Aurora Fernández Leon, Adriana Nicolae
exaly +7 more sources
Best Proximity Pair Theorems for Multifunctions with Open Fibres [PDF]
Journal of Approximation Theory, 2000 Let \(A\) and \(B\) be non-empty subsets of a normed linear space \(E\), and let \(T:A\to 2^B\) be a convex multi-valued function with open fibres \(T^{-1}(y)\) (i.e.) \(\{x\in X:y\in Tx\}\). For an element \(x_0\in A\) sufficient conditions are found so that \(\text{dist}(x_0, Tx_0)= \text{dist}(A,B)\).
S Sadiq Basha, P Veeramani
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 +2 more sources
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 +2 more
openaire +5 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
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Condensing Mappings and Best Proximity Point Results
Journal of Mathematics, 2021 Best proximity pair results are proved for noncyclic relatively u-continuous condensing mappings. In addition, best proximity points of upper semicontinuous mappings are obtained which are also fixed points of noncyclic relatively u-continuous condensing
Sarah O. Alshehri +2 more
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Best proximity point results for p-semi-cyclic contraction pair in Banach spaces [PDF]
Mathematica MoravicaIn the present work, we extend the semi-cyclic contraction conditions established by Gabeleh and Abkar [9] by introducing the concept of a p-semi-cyclic contraction for a pair of mappings (S,T) on the union of p(≥ 2) nonempty subsets in a Banach space ...
Kumar Sharma Ajay +2 more
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On a generalization of a relatively nonexpansive mapping and best proximity pair
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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Best proximity pair and fixed point results for noncyclic mappings in modular spaces
Arab Journal of Mathematical Sciences, 2018 In this paper, we formulate best proximity pair theorems for noncyclic relatively ρ-nonexpansive mappings in modular spaces in the setting of proximal ρ-admissible sets.
Karim Chaira, Samih Lazaiz
doaj +3 more sources