Approximation of common fixed points for a class of finite nonexpansive mappings in Banach spaces
In this paper, we study the approximation problems of common fixed points of Halpern's iterative sequence for a class of finite nonexpansive mappings in Banach spaces without using the concept of Banach's limit. The main results generalize, extend and improve the corresponding results of Bauschke [1], Halpern [5], Shioji and Takahashi [10], Takahashi, Tamura and Toyoda [14], Wittmann [16], Xu [17], [18] and others.
common fixed point nonexpansive mapping halpern's iterative sequence banach's limit