Best proximity point of generalized θ−ϕ−\theta-\phi-proximal non-self contractions

In this manuscript, motivated and inspired by results of Best proximity point of generalized $F$-proximal non-self contractions, we introduce the concept of generalized $\theta-\phi-$proximal contraction and prove new best proximity results for these contractions in the setting of a metric space. Our results generalize and extend many recent results appearing in the literature. An example is being given to demonstrate the usefulness of our results

Generalized Proximal ψ

We generalized the notion of proximal contractions of the first and the second kinds and established the best proximity point theorems for these classes. Our results improve and extend recent result of Sadiq Basha (2011) and some authors

Best proximity point results in set-valued analysis

Here we introduce certain multivalued maps and use them to obtain minimum distance between two closed sets. It is a proximity point problem which is treated here as a problem of finding global optimal solutions of certain fixed point inclusions. It is an application of set-valued analysis. The results we obtain here extend some results and are illustrated with examples. Applications are made to the corresponding single valued cases

Best Proximity Point Theorems without Fuzzy P-Property for Several (y - phi)-Weak Contractions in Non-Archimedean Fuzzy Metric Spaces

This paper addresses a problem of global optimization in a non-Archimedean fuzzy metric space context without fuzzy P-property. Specifically, it concerns the determination of the fuzzy distance between two subsets of a non-Archimedean fuzzy metric space. Our approach to solving this problem is to find an optimal approximate solution to a fixed point equation. This approach has been well studied within a category of problems called proximity point problems. We explore some new types of (psi-phi)-weak proximal contractions and investigate the existence of the unique best proximity point for such kinds of mappings. Subsequently, some fixed point results for corresponding contractions are proved, and some illustrative examples are presented to support the validity of the main results. Moreover, an interesting application in computer science, particularly in the domain of words has been provided. Our work is a fuzzy generalization of the proximity point problem by means of fuzzy fixed point method

A best proximity point theorem for special generalized proximal ?-quasi contractive mappings

In this paper, we obtain some best proximity point results for a new class of non-self mappings T: A? B called special generalized proximal ?-quasi contractive. Our result is illustrated by an example. Several consequences are derived. - 2019, The Author(s).Scopu

Best proximity point theorems for rational proximal contractions

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