Best proximity point of generalized $\theta-\phi-$proximal non-self contractions

TL;DR

This paper introduces generalized $ heta-...

Contribution

It develops a new class of contractions called generalized $ heta-...

Findings

Established new best proximity point theorems for these contractions.

Extended existing results in the literature.

Provided an example demonstrating applicability.

Abstract

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.