COMMON FIXED POINT OF MULTI-STEP ITERATION SCHEME WITH ERRORS FOR FINITE FAMILY OF ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPINGS

Abstract

In this paper, we study su±cient and necessary condition for finite step iterative sequences with errors for finite family of asymptotically quasi-nonexpansive mappings in Banach space to converge to common fixed point. These results improve and extend the corresponding results of Ghosh and Debnath [4], Khan and Takahashi [6], Petryshyn and Williamson [8], Liu [9, 10], Shahzad and Udomene [14], Xu and Noor [17] and many others.