An approximation of a common fixed point of nonexpansive mappings on convex metric spaces
Watcharapong Anakkamatee, Sompong Dhompongsa · Fixed Point Theory and Applications · 2012
Sokhuma and Kaewkhao (2011) introduced an iteration scheme to compute a common fixed point of a single-valued nonexpansive mapping and a multivalued nonexpansive mapping on a uniformly convex Banach space. In this paper, we extend the above result of Sokhuma and Kaewkhao from a single-valued mapping to a countable number of mappings and, at the same time, we extend the underlying spaces to strictly convex Banach spaces. The corresponding results are also obtained for the space setting. MSC:47H09, 47H10.