A note on some best proximity point theorems proved under P-property

TL;DR

This paper explores how recent results on best proximity points can be derived from fixed point theory, highlighting connections between these mathematical concepts.

Contribution

It demonstrates that certain best proximity point theorems can be obtained as special cases of fixed point theorems, unifying these areas.

Findings

Establishes a link between best proximity points and fixed point theory.

Simplifies proofs of some existing theorems.

Provides a unified approach to proximity and fixed point results.

Abstract

In this article we show that some recent results on the existence of best proximity points can be obtained from the same result in fixed point theory.