Work

Exploring the existence of a solution of nonlinear Fredholm integral equations: Novel approaches to estimating common fixed points

Year: 2025

Type: article

Abstract: This study explores common fixed points for mappings that satisfy the non-symmetric Garcia-Falset property in a Banach space with uniform convexity and a digraph G. By leveraging coordinate convexity, we analyze the convergence outcomes of the modified AA-iterative algorithm. We aim to identify common fixed points through a series of convergence analyses and offer an illustrative example to validate our findings for such mappings. Utilizing these common fixed point results in conjunction with illustrative examples, we establish the existence of a common solution to a system of nonlinear Fredholm integral equations. This research presents novel approaches for addressing nonlinear Fredholm integral equations by investigating the estimation of common fixed points, showcasing these methodologies’ potential applications and implications in solving complex mathematical problems.

Source: Journal of King Saud University - Science

DOI: 10.25259/jksus_266_2025

Authors: Hina Dilawer, Rizwan Anjum, Hira Iqbal, Mi Zhou

Institutions: National University of Computer and Emerging Sciences, University of Okara, University of Education, Sanya University

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $1,600

OpenAlex ID: W4412148429

FWCI: 1.756

Cites: 36

Cited by: 1

Related to: 10