Results 11 to 20 of about 509,290 (290)
Best proximity pair theorems for relatively nonexpansive mappings
Applied General Topology, 2009 Let A, B be nonempty closed bounded convex subsets of a uniformly convex Banach space and T : A∪B → A∪B be a map such that T(A) ⊆ B, T(B) ⊆ A and ǁTx − Tyǁ ≤ ǁx − yǁ, for x in A and y in B. The fixed point equation Tx = x does not possess a solution when
V. Sankar Raj, P. Veeramani
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Some Results on the Best Proximity Pair [PDF]
Abstract and Applied Analysis, 2011 We give some new conditions for existence and uniqueness of best proximity point. We also introduce the concept of strongly proximity pair and give some interesting results.
Mohammad Reza Haddadi +1 more
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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.
Seyed Ali Mohammad Mohsenialhosseini +1 more
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Noncyclic Meir-Keeler contractions and best proximity pair theorems
Demonstratio Mathematica, 2018 In this article, we consider the class of noncyclic Meir-Keeler contractions and study the existence and convergence of best proximity pairs for such mappings in the setting of complete CAT(0) spaces.
Gabeleh Moosa, Markin Jack
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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
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Best proximity pair results for relatively nonexpansive mappings in geodesic spaces [PDF]
Numerical Functional Analysis and Optimization, 2013 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 ...
Leon, Aurora Fernandez, Nicolae, Adriana
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Best Proximity Pair Theorems for Multifunctions with Open Fibres
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 \(\text{dist}(x_0, Tx_0)= \text{dist}(A,B)\).
Sadiq Basha, S., Veeramani, P.
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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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Approximate Best Proximity Pairs in Metric Space [PDF]
Abstract and Applied Analysis, 2011 Let A and B be nonempty subsets of a metric space X and also T:A∪B→A∪B and T(A)⊆B, T(B)⊆A. We are going to consider element x∈A such that d(x,Tx)≤d(A,B)+ϵ for some ϵ>0. We call pair (A,B) an approximate best proximity pair.
S. A. M. Mohsenalhosseini +2 more
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Common best proximity points for a pair of mappings with certain dominating property
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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