Best Proximity Point of Generalized θ-φ-Proximal Non-self Contractions

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 θ-φ-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.