Work

Novel Method for Approximating Fixed Point of Generalized α-Nonexpansive Mappings with Applications to Dynamics of a HIV Model

Year: 2025

Type: article

Abstract: In this paper, we use an existing fixed point iterative scheme to approximate a class of generalized α-nonexpansive mapping in Banach spaces. We also prove weak and strong convergence results for the mapping using the AG iterative scheme. An example of a generalized α-nonexpansive mapping is given to show the validity of the claims. We apply the main results to the approximation of solution of a mixed type Voltera–Fredholm functional nonlinear integral equation and to the spread of HIV modeled in terms of a fractional differential equation of the Caputo type.

Source: Mathematics

DOI: 10.3390/math13040550

Authors: Godwin Amechi Okeke, Akanimo Victor Udo, Rubayyi T. Alqahtani

Institutions: Federal University of Technology Owerri, Imam Mohammad ibn Saud Islamic University

Language: English

Topic: Optimization and Variational Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

Funder: Deanship of Scientific Research, Imam Mohammed Ibn Saud Islamic University