### 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.

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