Results 21 to 30 of about 1,095,113 (306)
Best proximity points for Geraghty’s proximal contraction mappings [PDF]
Fixed Point Theory and Applications, 2013 Abstract In this paper, we generalized the notion of proximal contractions of the first and second kinds by using Geraghty’s theorem and establish best proximity point theorems for proximal contractions. Our results improve and extend the recent results of Sadiq Basha and some others. MSC:47H09, 47H10.
Chirasak Mongkolkeha +2 more
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Coupled Optimal Results with an Application to Nonlinear Integral Equations
Axioms, 2021 In the present work, we consider the best proximal problem related to a coupled mapping, which we define using control functions and weak inequalities. As a consequence, we obtain some results on coupled fixed points.
Pulak Konar +3 more
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Generalized Proximal ψ‐Contraction Mappings and Best Proximity Points [PDF]
Abstract and Applied Analysis, 2012 We generalized the notion of proximal contractions of the first and the second kinds and established the best proximity point theorems for these classes. Our results improve and extend recent result of Sadiq Basha (2011) and some authors.
Winate Sanhan +2 more
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Journal of Inequalities and Applications, 2021 In this paper, we introduce the notions of proximal Berinde g-cyclic contractions of two non-self-mappings and proximal Berinde g-contractions, called proximal Berinde g-cyclic contraction of the first and second kind.
Chalongchai Klanarong, Inthira Chaiya
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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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Best Proximity Points for Some Classes of Proximal Contractions [PDF]
Abstract and Applied Analysis, 2013 Given a self-mapping and a non-self-mapping , the aim of this work is to provide sufficient conditions for the existence of a unique point , calledg-best proximity point, which satisfies . In so doing, we provide a useful answer for the resolution of the nonlinear programming problem of globally minimizing the real valued function , thereby getting an ...
Maryam A. Alghamdi +2 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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On Proximal contractions via implicit relations and Best proximity points [PDF]
Miskolc Mathematical Notes, 2021 In this paper, we employ two types of implicit relations to define some new kind of proximal contractions and study about their best proximity points. More precisely, we use two class of functions $\mathcal{A}$ and $\mathcal{A}'$ to explore proximal $\mathcal{A}$, $\mathcal{A}'$-contractions of first and second type and strong proximal $\mathcal{A}$, $\
Mondal, Pratikshan +2 more
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Best Proximity Point for Generalized and S-Geraphty Contractions
Abstract and Applied Analysis, 2021 This paper introduces a new class of mappings called S-Geraphty-contractions and provides sufficient conditions for the existence and uniqueness of a best proximity point for such mappings. It also presents the best proximity point result for generalized
Abdelhafid Bassou +2 more
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A Simulation function approach for best proximity point and variational inequality problems [PDF]
, 2017 We study sufficient conditions for existence of solutions to the global optimization problem min(x is an element of A) d(x, fx), where A, B are nonempty subsets of a metric space (X, d) and f : A -> B belongs to the class of proximal simulative ...
Abbas, Mujahid +2 more
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