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Best Proximity Point Theorem in Quasi-Pseudometric Spaces [PDF]

open access: yesAbstract 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
doaj   +4 more sources

Best Proximity Point Results for MK-Proximal Contractions [PDF]

open access: yesAbstract 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
doaj   +3 more sources

Condensing Mappings and Best Proximity Point Results

open access: yesJournal of Mathematics, 2021
Best proximity pair results are proved for noncyclic relatively u-continuous condensing mappings. In addition, best proximity points of upper semicontinuous mappings are obtained which are also fixed points of noncyclic relatively u-continuous condensing
Sarah O. Alshehri   +2 more
doaj   +2 more sources

Best Proximity Point for α-ψ-Proximal Contractive Multimaps

open access: yesAbstract 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
doaj   +2 more sources

Best Proximity Point Results for Modified --Proximal Rational Contractions [PDF]

open access: yesAbstract 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
doaj   +2 more sources

On Best Proximity Point Theorems without Ordering

open access: yesAbstract 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
doaj   +4 more sources

Best Proximity Point Thorem For Generalized ( [PDF]

open access: yesTurkish Journal of Computer and Mathematics Education (TURCOMAT), 2021
In this paper, we establish a new convergence theorem for best proximity of weak contractions in Branciari type generalized metric spaces under weak ...
S, Arul Ravi
core   +3 more sources

Some Iterations of Best Proximity Point

open access: yesWasit Journal for Pure Sciences
The aim of this paper is to investigate the convergence of two types of iterative methods , that is Manna and Ishikawa  to the optimal proximity points for cyclic Kannan and Chatterjee mappings defined on Banach spaces .
Jowan Hassan
doaj   +2 more sources

New generalization of the best proximity point problem [PDF]

open access: yesJournal of Mahani Mathematical Research, 2023
‎Let $(C,D)$ be a nonempty pair of disjoint subsets of a metric space. ‎Main purpose of this paper is to present a range of a convergence sequence to $u\in C\cup D$ such that $d(Tu,fu)=dist(C,D)$‎, for mappings $T,f:C\cup D\to C\cup D$.
M.R. Haddadi
doaj   +1 more source

Best Proximity Point for G-Generalized ζ-β-T Contraction

open access: yesInternational Journal of Analysis and Applications, 2023
In this paper, we find the best proximity point in G-metric spaces for G-generalized ζ-β-T contraction mappings and verify the existence and uniqueness of the best proximity point in the complete G metric space using the idea of an approximatively ...
Amit Duhan   +3 more
doaj   +1 more source

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