Results 11 to 20 of about 1,095,660 (289)
Tripled best proximity point in complete metric spaces
Open Mathematics, 2020 In this paper, we introduce a new type of contraction to seek the existence of tripled best proximity point results. Here, using the new contraction and P-property, we generalize and extend results of W. Shatanawi and A. Pitea and prove the existence and
Rohen Yumnam, Mlaiki Nabil
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On Some Coincidence Best Proximity Point Results
Journal of Mathematics, 2021 In this paper, we discuss some (coincidence) best proximity point results for generalized proximal contractions and λ−μ-proximal Geraghty contractions in controlled metric type spaces. To clarify our study, various examples are given and some conclusions
Naeem Saleem +3 more
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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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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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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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Common Best Proximity Point Theorems in Neutrosophic Complete Metric Spaces [PDF]
Neutrosophic Sets and SystemsIn this work, we provide the existence of common best proximity point for a given pair of non-self mappings in non-Archimedean neutrosophic complete metric spaces.
V. Pragadeeswarar, A. Sreelakshmi Unni
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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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