Approximating endpoints of multi-valued generalized $\alpha$-nonexpansive mappings in Banach spaces

Document Type: Original Article

Authors

1 Department of Mathematics, Uuniversity of Science and Technology,Bannu 28100, Khyber Pakhtunkhwa, Pakistan

2 Department of Mathematics, University of Science and Technology, Bannu 28100, Khyber Pakhtunkhwa, Pakistan

Abstract

In this paper, we study endpoints of multi-valued generalized $\alpha$-nonexpansive mappings in Banach spaces. Under some appropriate assumptions, we prove that the sequence of modified Agarwal-O'Rega-Sahu iterative process defined by Abdeljawad et al. (2020) converges strongly to an endpoint of a multi-valued generalized $\alpha$-nonexpansive mappings. We also give an illustrate example. Our results are new and extend the corresponding results of the current literature.

Keywords


Articles in Press, Accepted Manuscript
Available Online from 18 October 2020