TY - JOUR ID - 118113 TI - Approximating endpoints of multi-valued generalized $\alpha$-nonexpansive mappings in Banach spaces JO - Communications in Nonlinear Analysis JA - CNA LA - en SN - AU - Ahmad, Junaid AU - Ullah, Kifayat AU - Khan, Muhammad Safi Ullah AU - Muhammad, Naseer AD - Department of Mathematics, Uuniversity of Science and Technology,Bannu 28100, Khyber Pakhtunkhwa, Pakistan AD - Department of Mathematics, University of Science and Technology, Bannu 28100, Khyber Pakhtunkhwa, Pakistan Y1 - 2022 PY - 2022 VL - 10 IS - 1 SP - 1 EP - 18 KW - Endpoint KW - S iteration KW - generalized $alpha$-nonexpansive mapping KW - condition $(J)$ KW - Banach space DO - N2 - 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. UR - https://www.cna-journal.com/article_118113.html L1 - ER -