Iterative algorithm to common fixed points of infinite nonexpansive mappings in Banach spaces

Finding iterative algorithms to approximate fixed points for nonexpansive mappings is a very active topic in a number of mathematical and engineering areas, in particular, in image recovery and signal processing. Considerable research efforts have been devoted to the study of this area in recent years. By now, there already exist some algorithms, but they are not quite enough to deal with problems of finding common fixed points of infinite nonexpansive mappings. In this paper, a more general form of iterative algorithm is introduced which is proved to be strongly convergent to common fixed point of infinite nonexpansive mappings in a real strictly convex and uniformly smooth Banach space by using some new techniques.