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

Journal: International Journal of Advanced Engineering Research and Science (Vol.10, No. 12)

Publication Date:

Authors : ;

Page : 36-45

Keywords : bilateral contractions; Dass Gupta-type bilateral contraction; fixed point results; a set with two metrics;

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Abstract

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.

Last modified: 2023-12-14 18:05:25