Strong Convergence of an Implicit Iteration Process for a Finite Family of Uniformly <inline-formula> <graphic file="1029-242X-2010-801961-i1.gif"/></inline-formula>-Lipschitzian Mappings in Banach Spaces

Abstract

The purpose of this paper is to prove a strong convergence theorem for a finite family of uniformly -Lipschitzian mappings in Banach spaces. The results presented in the paper improve and extend the corresponding results announced by Chang (2001), Cho et al. (2005), Ofoedu (2006), Schu (1991) and Zeng (2003 and 2005), and many others.