Work

Novel fixed point theorems for orbital continuity in b -metric spaces: applications to integral equations and neural stability

Year: 2025

Type: article

Abstract: This article establishes novel fixed point theorems for \(\Psi \)-orbitally continuous mappings in \(b\)-metric spaces, extending the foundational results. The findings are applied to demonstrate the existence and uniqueness solutions for nonlinear integral equations and analyzing the stability of neural networks.

Source: Journal of Mathematics and Computer Science

DOI: 10.22436/jmcs.041.01.06

Author: G. M. Abd-Elhamed

Institutions: Ain Shams University, Prince Sattam Bin Abdulaziz University

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Prince Sattam bin Abdulaziz University

Award: G590497767