Solving Integral Equations via Fixed Point Results Involving Rational-Type Inequalities-Reference-Cited by-同舟云学术

Solving Integral Equations via Fixed Point Results Involving Rational-Type Inequalities

Published:2023-07-12 Issue:7 Volume:12 Page:685
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Shah Khayyam Syed¹,Sarwar Muhammad¹^ORCID,Khan Asad¹,Mlaiki Nabil²^ORCID,Azmi Fatima M.²^ORCID

Affiliation:

1. Department of Mathematics, University of Malakand, Chakdara 18800, Dir Lower, Pakistan

2. Department of Mathematics and Sciences, Price Sultan University, Riyadh 12435, Saudi Arabia

Abstract

In this study, we establish unique and common fixed point results in the context of a complete complex-valued b-metric space using rational-type inequalities. The presented work generalizes some well-known results from the existing literature. Furthermore, to ensure the validity of the findings, we have included some examples and a section on the existence of solutions for the systems of Volterra–Hammerstein integral equations and Urysohn integral equations, respectively.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/7/685/pdf

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