An Accelerated Algorithm Involving Quasi-$\phi$-Nonexpansive Operators for Solving Split Problems

Year:    2023

Author:    Bashir Ali, Aisha Aminu Adam, Abubakar Adamu

Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 1 : pp. 54–72

Abstract

In this paper, an algorithm of inertial type for approximating solutions of split equality fixed point problems involving quasi-$\phi$-nonexpansive maps is proposed and studied in the setting of certain real Banach spaces. Weak and strong convergence theorems are proved under some conditions. Some applications of the theorems are presented. The results presented extend and improve some existing results. Finally, some numerical illustrations are presented to support our theorems and their applications.

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.12150/jnma.2023.54

Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 1 : pp. 54–72

Published online:    2023-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    19

Keywords:    Fixed point Quasi-$\phi$-nonexpansive Inertia.

Author Details

Bashir Ali

Aisha Aminu Adam

Abubakar Adamu