Fixed Point Results for Single-valued Mappings on a Set with Two Metrics using a Dass Gupta-type Bilateral Contraction

Amber Saeed, Jawad Ahmed, Muqddas Shabbir, Muhammad Umair, Hossain MD Sabbir, Shimul Paul, Mohammad Arfan, Sheikh Muktadirul Houqe, Hossain Anowar

bilateral contractions, Dass Gupta-type bilateral contraction, fixed point results, a set with two metrics

The purpose of this paper is to explore some new fixed point results using a bilateral contraction. The first thing we need to do is recall the work on fixed-point results that have been done in different research papers. By combining the results of two papers, the first was by Rus [12], which discussed different fixed point results on a set with two metrics, and the second was by Chen [4], which used bilateral contractions to prove different fixed point results. In this paper, we present new results for single-valued mappings on a single set with two metrics. In order to accomplish all of this, a bilateral contraction of the type used by Dass Gupta has been used.

Received: 15 Oct 2023, Receive in revised form: 22 Nov 2023, Accepted: 01 Dec 2023, Available online: 08 Dec 2023

10.22161/ijaers.1012.4