Common Best Proximity Points and Completeness of ℱ−Metric Spaces
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
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Common Best Proximity Point Theorems in JS-Metric Spaces Endowed with Graphs [PDF]
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
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Common Best Proximity Coincidence Point Theorem for Dominating Proximal Generalized Geraghty in Complete Metric Spaces [PDF]
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
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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
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Global Optimization and Common Best Proximity Points for Some Multivalued Contractive Pairs of Mappings [PDF]
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
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Common Best Proximity Point Theorems in Neutrosophic Complete Metric Spaces [PDF]
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
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Common best proximity point theorems for certain types of mappings [PDF]
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
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Common best proximity point theorems in Hausdorff topological spaces
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
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Generalized Common Best Proximity Point Results in Fuzzy Metric Spaces with Application
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
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
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