Convergence of a three-step iteration process to common fixed points of three asymptotically G-nonexpansive mappings in banach spaces with graphs
Abstract
In this paper, we introduce a new three step iteration scheme for three asymptotically G-nonexpansive mappings in uniformly convex Banach spaces with graphs. We also prove some weak convergence and strong convergence results to common fixed points of three asymptotically G-nonexpansive mappings in uniformly convex Banach spaces with graphs. These results are the extensions of some results in existing results in the literature [1, 2]. In addition, we give an example to illustrate the convergence of the introduced iteration process and also show that the convergence of the introduced iteration process to common fixed points of three asymptotically G-nonexpansive mappings is faster than the iteration processes in [1, 2].
Moraref