On convergence theorem of a finite family of nonlinear mappings in uniformly convex metric spaces

摘要

In this paper, we introduce the S-mapping generated by a finite family of nonexpansive mapping and real numbers in convex metric space by using concept of the S-mapping defined by Kangtunyakarn and Suantai [1]. Then, we prove convergence of Ishikawa iteration generated by the S-mapping to a common fixed point of a finite family of nonexpansive mappings in uniformly convex metric space.