Altering distance functions and fixed point theorems through rational expression

TL;DR

This paper generalizes fixed point theorems by employing altering distance functions, extending previous results and analyzing contraction mappings with property P.

Contribution

It introduces a broader class of fixed point theorems using rational expression-based altering distance functions, expanding existing theoretical frameworks.

Findings

Generalized fixed point theorems using rational altering distance functions

Extended results of Das and Gupta, Samet and Yazid

Studied property P for contraction mappings

Abstract

In this paper, using altering distance functions we obtain a generalization of the results due to B.K. Das and S. Gupta as well as the results given by B. Samet and H. Yazid. Moreover, we study the so-called property P for the contraction mappings considered in this article.