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An Accelerated Algorithm Involving Quasi-$\phi$-Nonexpansive Operators for Solving Split Problems
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KeyWord:Fixed point  Quasi-$\phi$-nonexpansive  Inertia
Author NameAffiliation
Bashir Ali Department of Mathematics, Bayero University Kano, Kano, Nigeria 
Aisha Aminu Adam Department of Pure and Applied Mathematics, African University of Science and Technology, Abuja, Nigeria 
Abubakar Adamu Center of Excellence in Theoretical and Computational Science, King Mongkut's University of Technology Thonburi, Bangkok 10140, Thailand 
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      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.