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.