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 point theorems for some classes of contractions
Sign Up to like & getrecommendations! Published in 2018 at "Acta Mathematica Hungarica"
DOI: 10.1007/s10474-018-0882-z
Abstract: This article elicits some best proximity point theorems, dealing with a special genre of global minimization problem to produce optimal approximate solutions for nonlinear equations of the form Tx = x, which models many nonlinear phenomena, where… read more here.
Keywords: proximity point; contraction; best proximity; point theorems ... 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
Best proximity point theorems for contractive mappings
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-018-0560-3
Abstract: This article is concerned with some new best proximity point theorems for principal cyclic contractive mappings, proximal cyclic contractive mappings, and proximal contractive mappings. As a consequence, an interesting fixed point theorem, due to Edelstein,… read more here.
Keywords: proximity point; point; contractive mappings; point theorems ... See more keywords
On coupled best proximity points and Ulam–Hyers stability
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-020-0764-1
Abstract: For two nonempty, closed, bounded and convex subsets A and B of a uniformly convex Banach space X consider a mapping $$T:(A \times B) \cup (B \times A) \rightarrow A \cup B$$ T : (… read more here.
Keywords: hyers stability; coupled best; ulam hyers; best proximity ... See more keywords
Darbo type best proximity point results via simulation function with application
Sign Up to like & getrecommendations! Published in 2020 at "Afrika Matematika"
DOI: 10.1007/s13370-020-00764-7
Abstract: Primarily this work intends to prove the best proximity point (pair) results using the concept of measure of noncompactness and simulation functions. The obtained results generalize and extend some present state of the art on… read more here.
Keywords: proximity point; darbo type; point; simulation ... 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 and Uniqueness of a Common Best Proximity Point on Fuzzy Metric Space
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DOI: 10.1080/16168658.2020.1746484
Abstract: In this paper, first we introduce the notion of proximally weakly compatible mappings and we extend the CLRg property (CLRg-Common limit in the range of g) to the case of non-self mappings. Then we prove… read more here.
Keywords: fuzzy metric; metric space; point; common best ... 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
Condensing Mappings and Best Proximity Point Results
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DOI: 10.1155/2021/5542994
Abstract: 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 mappings. It… read more here.
Keywords: proximity point; point results; condensing mappings; best proximity ... See more keywords