Results 11 to 20 of about 8,286,670 (284)
Best Proximity Point for α-ψ-Proximal Contractive Multimaps [PDF]
Abstract and Applied Analysis, 2014 We extend the notions of α-ψ-proximal contraction and α-proximal admissibility to multivalued maps and then using these notions we obtain some best proximity point theorems for multivalued mappings.
Muhammad Usman Ali +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.
N. Hussain, M. A. Kutbi, P. Salimi
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Best proximity and best periodic points for proximal nonunique contractions
Journal of Fixed Point Theory and Applications, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hakan Sahin +2 more
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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),
Mohamed Jleli +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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Best Proximity Point Results in G-Metric Spaces [PDF]
Abstract and Applied Analysis, 2014 G-metric spaces proved to be a rich source for fixed point theory; however, the best proximity point problem has not been considered in such spaces. The aim of this paper is to introduce certain new classes of proximal contraction mappings and establish ...
N. Hussain, A. Latif, P. Salimi
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Best Proximity Point and Geometric Contraction Maps
Journal of Mathematical Extension, 2014 In this paper we introduce geometric contraction map and give a new condition for the existence and uniqueness of best proximity point of geometric contractions.
M. R. Haddadi
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Existence of Best Proximity Point in O-CompleteMetric Spaces [PDF]
Mathematics, 2023 In this work, we prove the existence of the best proximity point results for ⊥-contraction (orthogonal-contraction) mappings on an O-complete metric space (orthogonal-complete metric space). Subsequently, these existence results are employed to establish
G. Poonguzali +2 more
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On Best Proximity Point Theorems without Ordering
Abstract and Applied Analysis, 2014 Recently, Basha (2013) addressed a problem that amalgamates approximation and optimization in the setting of a partially ordered set that is endowed with a metric.
A. P. Farajzadeh +2 more
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Best Proximity Point Theorem in Quasi-Pseudometric Spaces [PDF]
Abstract and Applied Analysis, 2016 In quasi-pseudometric spaces (not necessarily sequentially complete), we continue the research on the quasi-generalized pseudodistances. We introduce the concepts of semiquasiclosed map and contraction of Nadler type with respect to generalized ...
Robert Plebaniak
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