Existence and Convergence Theorems for Global Minimization of Best Proximity Points in Hilbert Spaces
Sign Up to like & getrecommendations! Published in 2019 at "Acta Applicandae Mathematicae"
DOI: 10.1007/s10440-019-00242-8
Abstract: In order to solve global minimization problems involving best proximity points, we introduce general Mann algorithm for nonself nonexpansive mappings and then prove weak and strong convergence of the proposed algorithm under some suitable conditions… read more here.
Keywords: proximity points; convergence; hilbert spaces; global minimization ... See more keywords
Best proximity points for multi-valued Suzuki $$\alpha $$α–F-proximal contractions
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-017-0457-6
Abstract: In this paper, we show the existence of best proximity points for multi-valued Suzuki $$\alpha $$α–F-proximal contraction mappings in complete metric spaces and give some examples to illustrate the main results in this paper. Our… read more here.
Keywords: points multi; valued suzuki; multi valued; suzuki alpha ... See more keywords
Existence and convergence theorems for Bregman best proximity points in reflexive Banach spaces
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-018-0509-6
Abstract: In recent years, there has been considerable interest in the study of best proximity points. In this paper, using Bregman functions and Bregman distances, we first prove the existence of Bregman best proximity points in… read more here.
Keywords: proximity points; reflexive banach; best proximity; bregman best ... See more keywords
Mappings of Generalized Condensing Type in Metric Spaces with Busemann Convex Structure
Sign Up to like & getrecommendations! Published in 2020 at "Bulletin of The Iranian Mathematical Society"
DOI: 10.1007/s41980-019-00336-x
Abstract: Related to earlier work on existence results of best proximity points (pairs) for cyclic (noncyclic) condensing operators of integral type in the setting of reflexive Busemann convex spaces, in this paper, we introduce another class… read more here.
Keywords: existence; busemann convex; points pairs; type ... See more keywords
Existence of best proximity points satisfying two constraint inequalities
Sign Up to like & getrecommendations! Published in 2021 at "Asian-European Journal of Mathematics"
DOI: 10.1142/s1793557122501042
Abstract: In this paper, we prove the existence of best proximity point and coupled best proximity point on metric spaces with partial order for weak proximal contraction mappings such that these critical points satisfy some constraint… read more here.
Keywords: existence best; constraint inequalities; proximity points; best proximity ... See more keywords
Best proximity points in ℱ-metric spaces with applications
Sign Up to like & getrecommendations! Published in 2023 at "Demonstratio Mathematica"
DOI: 10.1515/dema-2022-0191
Abstract: Abstract The aim of this article is to introduce α \alpha - ψ \psi -proximal contraction in the setting of ℱ-metric space and prove the existence of best proximity points for these contractions. As applications… read more here.
Keywords: proximity points; points metric; spaces applications; metric spaces ... See more keywords
Common best proximity points for a pair of mappings with certain dominating property
Sign Up to like & getrecommendations! Published in 2023 at "Demonstratio Mathematica"
DOI: 10.1515/dema-2022-0215
Abstract: Abstract This article introduces a type of dominating property, partially inherited from L. Chen’s, and proves an existence and uniqueness theorem concerning common best proximity points. A certain kind of boundary value problem involving the… read more here.
Keywords: common best; dominating property; best proximity; proximity points ... See more keywords
PROXIMITY POINTS FOR CYCLIC 2-CONVEX CONTRACTION MAPPINGS
Sign Up to like & getrecommendations! Published in 2020 at "Nonlinear functional analysis and applications"
DOI: 10.22771/nfaa.2020.25.01.01
Abstract: In this paper, the existence of proximity point for cyclic 2-convex contraction mappings, weakly cyclic 2-convex contraction mappings and M -weakly cyclic 2-convex contraction mappings are proved in the metric space setting. Our result is… read more here.
Keywords: cyclic convex; proximity points; contraction mappings; convex contraction ... See more keywords
Coincidence best proximity points in convex metric spaces
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DOI: 10.2298/fil1807451g
Abstract: Let T,S : A∪ B→ A∪ B be mappings such that T(A) ⊆ B,T(B) ⊆ A and S(A) ⊆ A,S(B) ⊆ B. Then the pair (T; S) of mappings defined on A∪B is called cyclic-noncyclic… read more here.
Keywords: convex metric; coincidence best; proximity points; best proximity ... See more keywords
On best proximity points of interpolative proximal contractions
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DOI: 10.2989/16073606.2020.1785576
Abstract: Abstract In this paper, we introduce some kinds of interpolative proximal contractions named as Reich-Rus-Ćirić and Kannan types. Then taking into account the aforementioned mappings, we give a few best proximity point results. As special… read more here.
Keywords: points interpolative; interpolative proximal; proximity points; proximal contractions ... See more keywords
Equivalence between the Existence of Best Proximity Points and Fixed Points for Some Classes of Proximal Contractions
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DOI: 10.3390/axioms11090468
Abstract: In the year 2014, Almeida et al. introduced a new class of mappings, namely, contractions of Geraghty type. Additionally, in the year 2021, Beg et al. introduced the concept of generalized F-proximal contraction of the… read more here.
Keywords: existence best; classes proximal; proximity points; points classes ... See more keywords