Integral Equations Approach in Complex-Valued Generalized <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <mi>b</mi> </math>-Metric Spaces-Reference-Cited by-同舟云学术

Integral Equations Approach in Complex-Valued Generalized $b$ -Metric Spaces

Published:2022-01-24 Issue: Volume:2022 Page:1-23
ISSN:2314-4785
Container-title:Journal of Mathematics
language:en
Short-container-title:Journal of Mathematics

Author:

Mehmood Shahid¹,Rehman Saif Ur¹^ORCID,Ullah Ihsan²,Bantan Rashad A. R.³,Elgarhy Mohammed¹⁴^ORCID

Affiliation:

1. Institute of Numerical Sciences, Department of Mathematics, Gomal University, Dera Ismail Khan 29050, Pakistan

2. School of International Studies, Collaborative Innovation Center for Security and Development of Western Frontier China, Sichuan University, Chengdu, Sichuan 610065, China

3. Department of Marine Geology, King AbdulAziz University, Jeddah 21551, Saudi Arabia

4. The Higher Institute of Commercial Sciences, Algarbia, Al Mahalla Al Kubra 31951, Egypt

Abstract

In this paper, we study a rational type common fixed-point theorem (CFP theorem) in complex-valued generalized

b

-metric spaces (

G_{b}

-metric spaces) by using three self-mappings under the generalized contraction conditions. We find CFP and prove its uniqueness. To justify our result, we provide an illustrative example. Furthermore, we present a supportive application of the three Urysohn type integral equations (UTIEs) for the validity of our result. The UTIEs are

Funder

King Abdulaziz University

Publisher

Hindawi Limited

Subject

General Mathematics

Link

http://downloads.hindawi.com/journals/jmath/2022/7454498.pdf

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