Results 11 to 20 of about 916,486 (287)
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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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 , called g-best proximity point, which satisfies .
Maryam A. Alghamdi +2 more
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Best Proximity Points for K- Proximal Contraction
International Journal of Analysis and Applications, 2014 In this paper, we define K− proximal contraction and prove best proximity point theorem for this contraction. We also provide an illustrative example.
Ajay Sharma, Balwant Singh Thakur
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Best proximity points for alternative p-contractions
Journal of Inequalities and ApplicationsCyclic mappings describe fixed paths for which each point is sequentially transmitted from one set to another. Cyclic mappings satisfying certain cyclic contraction conditions have been used to obtain the best proximity points, which constitute a ...
Mi Zhou +3 more
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Coincidence Best Proximity Points of Proximal Berinde G-Contractions
Journal of MathematicsRecently, a concept of proximal Berinde contractions was introduced and applied to prove the existence of coincidence best proximity points in metric spaces. In this article, we established a new approach to show that these results can be obtained from a
Moosa Gabeleh, Jack Markin
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Best proximity points and fixed points for p-summing maps [PDF]
Fixed Point Theory and Applications, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Boyan Zlatanov, Mihaela Petric
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Best Proximity Point Results for MK‐Proximal Contractions [PDF]
Abstract and Applied Analysis, 2012 Let A and B be nonempty subsets of a metric space with the distance function d, and T : A → B is a given non‐self‐mapping. The purpose of this paper is to solve the nonlinear programming problem that consists in minimizing the real‐valued function x ↦ d(x, Tx), where T belongs to a new class of contractive mappings.
Jleli, Mohamed +2 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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Best Proximity Point Results for Modified --Proximal Rational Contractions [PDF]
Abstract and Applied Analysis, 2013 We first introduce certain new concepts of --proximal admissible and ---rational proximal contractions of the first and second kinds. Then we establish certain best proximity point theorems for such rational proximal contractions in metric spaces. As an application, we deduce best proximity and fixed point results in partially ordered metric spaces ...
N. Hussain, M. A. Kutbi, P. Salimi
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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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