Strong Convergence for a Countable Family of Total Quasi-Ф-asymptotically Nonexpansive Nonself Mappings in Banach Space
Wang, Xiong-Rui, Quan Quan, Jing Jing · 数学研究通讯：英文版 · 2015
The purpose of this article is to introduce a class of total quasi-φ-asymptotically nonexpansive nonself mappings. Strong convergence theorems for common fixed points of a countable family of total quasi-φ-asymptotically nonexpansive mappings are established in the framework of Banach spaces based on modified Halpern and Mann-type iteration algorithm. The main results presented in this article extend and improve the corresponding results of many authors.