Convergence theorems of a new iteration for two nonexpansive mappings
Xue-Ping Hou, Hongxia Du · Journal of Inequalities and Applications · 2014
The purpose of this paper is to introduce the following new general implicit iteration scheme for approximating the common fixed points of a pair of nonexpansive mappings in a uniformly convex Banach space: for any , the iterative process defined by , , where , , , , , , are seven sequences of real numbers satisfying , , and are two nonexpansive mappings. We approximate the common fixed points of these two mappings by weak and strong convergence of the scheme.