Some fixed point theorems of rational type contraction in b-metric spaces

Merdaci Seddik; Hamaizia Taieb

doi:10.2478/mjpaa-2021-0023

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Some fixed point theorems of rational type contraction in b-metric spaces

Moroccan Journal of Pure and Applied Analysis

Volume 7 (2021): Issue 3 (September 2021)

By: Merdaci Seddik and Hamaizia Taieb

Open Access

|Mar 2021

Abstract

In this paper, we prove some common fixed point theorems satisfying contractive type mapping in the setting of b-metric spaces. The presented theorem is an extension the results of M. Sarwar and M. U. Rahman [23] as well as a generalization of many well-known results in the literature through the context of b-metric spaces. Also, we present a few examples to illustrate the validity of the results obtained in the paper. Finally, results are applied to find the solution for an integral equation.

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