Inertial residual algorithm for fixed points of finite family of strictly pseudocontractive mappings in Banach spaces

Document Type : Research Paper

Authors

1 Department of Mathematical Sciences, Bayero University, Kano, Nigeria

2 Department of Science and Technology Education, Bayero University, Kano, Nigeria

3 Department of Mathematics, Federal College of Eduction, Katsina, Nigeria

4 Department of Mathematics, University of Eswatini, Private Bag 4, Kwaluseni, Eswatini

5 Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, P.O. Box 94, Pretoria 0204, South Africa

Abstract

In this paper, we introduce a new iteration method called inertial residual algorithm for finding a common fixed point of finite family of strictly pseudocontractive mappings in a real uniformly smooth Banach spaces. We also establish weak and strong convergence theorems for the scheme. Finally, we give numerical experiment to explain the proposed method. Our results generalize and improve many recent results in the literature.

Keywords