THREE STEP ITERATIVE PROCEDURE WITH ERRORS FOR GENERALIZED ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPINGS IN BANACH SPACES

Abstract

In this paper, we introduce a class of new iterative procedures with errors approximating the common fixed point for three generalized asymptotically quasi-nonexpansive mappings and prove several strong convergence theorems for the iterative procedures with errors in uniformly convex Banach spaces. Our results extend and improve the recent corresponding theorems obtained by Chang-Kim-Jin [6], Ghosh-Debnath [7], Kim-Kim-Kim [14], Li-Kim-Huang [17], Liu ([21, 22]), Nammanee-Noor-Suantai [24], Suantai [27], Tan-Xu [28], Xu-Noor [30], Zeng-Wong-Yao [32], Zeng-Yao [33], Zhou-Cho-Grabiec [34] and Zhou-Guo-Hwang-Cho [35].