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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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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A Best Proximity Point Result in Modular Spaces with the Fatou Property [PDF]
Abstract and Applied Analysis, 2013 Consider a nonself-mapping , where is a pair of nonempty subsets of a modular space . A best proximity point of is a point satisfying the condition: .
Mohamed Jleli +2 more
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Common best proximity point theorems for certain types of mappings [PDF]
Mathematica BohemicaLet $S$ and $T$ be two single-valued non-self-mappings from a nonempty set $\mathcal{P}$ to another nonempty set $\mathcal{Q}$. As they are non-self-mappings, the equations $Sx=x$ and $Tx=x$ do not have a common solution. In other words, they do not have
Arunachalam Murali, Krishnan Muthunagai
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Best proximity point theorems for cyclic p-contractions with some consequences and applications [PDF]
Nonlinear Analysis, 2021 In this paper, we introduce the concept of cyclic p-contraction pair for single-valued mappings. Then we present some best proximity point results for such mappings defined on proximally complete pair of subsets of a metric space.
Mustafa Aslantas +2 more
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, 2001 Let \(X\) and \(Y\) be any two topological spaces. A multifunction \(T:X\to 2^Y\) is said to be (i) upper semi-continuous if \(T^{-1}(B)= \{x\in X:(Tx)\cap B\neq\emptyset\}\) is closed in \(X\) whenever \(B\) is a closed subset of \(Y\); (ii) Kakutani multifunction if (a) \(T\) is upper semi-continuous, (b) either \(Tx\) is a singleton for each \(x\in ...
BASHA, SS, VEERAMANI, P, PAI, DV
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Best Proximity Point Theorems for a Berinde MT-Cyclic Contraction on a Semisharp Proximal Pair [PDF]
International Journal of Mathematics and Mathematical Sciences, 2018 In this paper, a new type of non-self-mapping, called Berinde MT-cyclic contractions, is introduced and studied. Best proximity point theorems for this type of mappings in a metric space are presented. Some examples illustrating our main results are also
Chalongchai Klanarong +1 more
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Common best proximity point theorem for multivalued mappings in partially ordered metric spaces
Fixed Point Theory and Applications, 2017 In this paper, we prove the existence of a common best proximity point for a pair of multivalued non-self mappings in partially ordered metric spaces. Also, we provide some interesting examples to illustrate our main results.
V Pragadeeswarar +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 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.
Gabeleh Moosa
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Existence and Convergence of Best Proximity Points for Semi Cyclic Contraction Pairs [PDF]
International Journal of Analysis and Applications, 2014 In this article, we introduce the notion of a semi cyclic ϕ-contraction pair of mappings, which contains semi cyclic contraction pairs as a subclass.
Balwant Singh Thakur, Ajay Sharma
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