Results 1 to 10 of about 916,486 (287)
Best Proximity Points for Cyclical Contractive Mappings
Applied General Topology, 2015 We consider p-cyclic mappings and prove an analogous result to Edelstien contractive theorem for best proximity points. Also we give similar results satisfying Boyd-Wong and Geraghty contractive conditions.
J. Maria Felicit, A. Anthony Eldred
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Best proximity points in ℱ-metric spaces with applications
Demonstratio Mathematica, 2023 The aim of this article is to introduce α\alpha -ψ\psi -proximal contraction in the setting of ℱ-metric space and prove the existence of best proximity points for these contractions.
Lateef Durdana
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On Coupled Best Proximity Points in Reflexive Banach Spaces
Mathematics, 2022 We investigated the existence and uniqueness of coupled best proximity points for some cyclic and semi-cyclic maps in a reflexive Banach space. We found sufficient conditions, ensuring the existence of coupled best proximity points in reflexive Banach ...
Laura Ajeti +2 more
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Coupled fixed points and coupled best proximity points for cyclic Ćirić type operators [PDF]
Arab Journal of Mathematical Sciences, 2020 The purpose of this paper is to study the coupled fixed point problem and the coupled best proximity problem for single-valued and multi-valued contraction type operators defined on cyclic representations of the space.
Adrian Magdaş
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Best Proximity Points for p–Cyclic Infimum Summing Contractions
Axioms, 2023 We investigate fixed points for p cyclic maps by introducing a new notion of p–cyclic infimum summing maps and a generalized best proximity point for p–cyclic maps. The idea generalizes some results about best proximity points in order to widen the class
Miroslav Hristov +4 more
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Existence of Coupled Best Proximity Points of p-Cyclic Contractions
Axioms, 2021 We generalize the notion of coupled fixed (or best proximity) points for cyclic ordered pairs of maps to p-cyclic ordered pairs of maps. We find sufficient conditions for the existence and uniqueness of the coupled fixed (or best proximity) points.
Miroslav Hristov +3 more
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Common Best Proximity Points and Completeness of ℱ−Metric Spaces
Mathematics, 2023 In this paper, we introduce three classes of proximal contractions that are called the proximally λ−ψ−dominated contractions, generalized ηβγ−proximal contractions and Berinde-type weak proximal contractions, and obtain common best proximity points for ...
Mi Zhou +4 more
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Best proximity pair results for relatively nonexpansive mappings in geodesic spaces [PDF]
, 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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Cyclic (Noncyclic) ϕ-condensing operator and its application to a system of differential equations [PDF]
, 2019 We establish a best proximity pair theorem for noncyclic ϕ-condensing operators in strictly convex Banach spaces by using a measure of noncompactness. We also obtain a counterpart result for cyclic ϕ-condensing operators in Banach spaces to guarantee the
Gabeleh M., Moshokoa S. P., Vetro C.
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On best proximity points in metric and Banach spaces [PDF]
, 2011 In this paper we study the existence and uniqueness of best proximity points of cyclic contractions as well as the convergence of iterates to such proximity points.
Espínola García, Rafael +1 more
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