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Common Best Proximity Points and Completeness of ℱ−Metric Spaces

open access: yesMathematics, 2023
In this paper, we introduce three classes of proximal contractions that are called the proximally λ−ψ−dominated contractions, generalized ηβγ−proximal contractions and Berinde-type weak proximal contractions, and obtain common best proximity points for ...
Mi Zhou   +4 more
doaj   +4 more sources

Common Best Proximity Point Theorems in JS-Metric Spaces Endowed with Graphs [PDF]

open access: yesJournal of Function Spaces, 2021
In this paper, we introduce a notion of G-proximal edge preserving and dominating G-proximal Geraghty for a pair of mappings, which will be used to present some existence and uniqueness results for common best proximity points.
Chaiporn Thangthong   +3 more
doaj   +3 more sources

Common Best Proximity Coincidence Point Theorem for Dominating Proximal Generalized Geraghty in Complete Metric Spaces [PDF]

open access: yesJournal of Function Spaces, 2020
In this paper, we introduce a new concept of dominating proximal generalized Geraghty for two mappings and prove the existence and uniqueness of a common best proximity coincidence point in complete metric spaces.
Anchalee Khemphet   +2 more
doaj   +3 more sources

Common Best Proximity Point Theorems for Generalized Proximal Weakly Contractive Mappings in b-Metric Space

open access: yesAbstract and Applied Analysis, 2022
In this paper, common best proximity point theorems for weakly contractive mapping in b-metric spaces in the cases of nonself-mappings are proved; we introduced the notion of generalized proximal weakly contractive mappings in b-metric spaces and proved ...
Yohannes Gebru, Yitages Negede
doaj   +3 more sources

Global Optimization and Common Best Proximity Points for Some Multivalued Contractive Pairs of Mappings [PDF]

open access: yesAxioms, 2020
In this paper, we study a problem of global optimization using common best proximity point of a pair of multivalued mappings. First, we introduce a multivalued Banach-type contractive pair of mappings and establish criteria for the existence of their ...
Pradip Debnath, Hari Mohan Srivastava
doaj   +3 more sources

Common Best Proximity Point Theorems in Neutrosophic Complete Metric Spaces [PDF]

open access: yesNeutrosophic Sets and Systems
In this work, we provide the existence of common best proximity point for a given pair of non-self mappings in non-Archimedean neutrosophic complete metric spaces.
V. Pragadeeswarar, A. Sreelakshmi Unni
doaj   +2 more sources

Common best proximity point theorems for certain types of mappings [PDF]

open access: yesMathematica Bohemica
Let $S$ and $T$ be two single-valued non-self-mappings from a nonempty set $\mathcal{P}$ to another nonempty set $\mathcal{Q}$. As they are non-self-mappings, the equations $Sx=x$ and $Tx=x$ do not have a common solution. In other words, they do not have
Arunachalam Murali, Krishnan Muthunagai
doaj   +2 more sources

Common best proximity point theorems in Hausdorff topological spaces

open access: yesJournal of Inequalities and Applications
In the present paper, we have obtained common best proximity point theorems of nonself maps in Hausdorff topological space. Further, our results extend the results due to Gerald F.
A. Sreelakshmi Unni, V. Pragadeeswarar
doaj   +3 more sources

Generalized Common Best Proximity Point Results in Fuzzy Metric Spaces with Application

open access: yesSymmetry, 2023
The symmetry of fuzzy metric spaces has benefits for flexibility, ambiguity tolerance, resilience, compatibility, and applicability. They provide a more comprehensive description of similarity and offer a solid framework for working with ambiguous and imprecise data. We give fuzzy versions of some celebrated iterative mappings.
Doha Kattan   +2 more
exaly   +3 more sources

Cyclic pairs and common best proximity points in uniformly convex Banach spaces

open access: yesOpen Mathematics, 2017
In this article, we survey the existence, uniqueness and convergence of a common best proximity point for a cyclic pair of mappings, which is equivalent to study of a solution for a nonlinear programming problem in the setting of uniformly convex Banach ...
Gabeleh Moosa   +3 more
doaj   +3 more sources

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