Common Fixed Point of a Finite-step Iteration Algorithm Under Total Asymptotically Quasi-nonexpansive Maps

Authors

Salwa Salman Abed, Department of Mathematics, College of Education for Pure Sciences (Ibn Al-Haitham),University of Baghdad, Baghdad, Iraq.Follow
Zahra Mahmood Mohamed Hasan, Department of Mathematics, College of Education for Pure Sciences (Ibn Al-Haitham),University of Baghdad, Baghdad, Iraq

Abstract

Throughout this paper, a generic iteration algorithm for a finite family of total asymptotically quasi-nonexpansive maps in uniformly convex Banach space is suggested. As well as weak / strong convergence theorems of this algorithm to a common fixed point are established. Finally, illustrative numerical example by using Matlab is presented.

Keywords

Banach space, Common fixed points, Strong convergence, Total asymptotically quasi-nonexpansive map, Weak convergence.

Article Type

Article

How to Cite this Article

Salman Abed, Salwa and Mahmood Mohamed Hasan, Zahra (2019) "Common Fixed Point of a Finite-step Iteration Algorithm Under Total Asymptotically Quasi-nonexpansive Maps," Baghdad Science Journal: Vol. 16: Iss. 3, Article 16.
DOI: https://doi.org/10.21123/bsj.2019.16.3.0654