CONVERGENCE OF COMMON FIXED POINT OF FINITE STEP ITERATION PROCESS FOR GENERALIZED ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPINGS

Abstract

In this paper, we give a sucient condition to converge to common fixed point ofa nite step iteration process with errors for two finite families of generalized asymptotically quasi-nonexpansive mappings in the framework of Banach spaces. Also, we establish someweak and strong convergence theorems of the above said scheme and mappings using addi-tional assumptions to the space in the framework of uniformly convex Banach spaces. Theresults presented in this paper improve and extend some results of Chen and Guo (2011) [1], Sitthikul and Saejung (2009) [19] and many others.