Approximation of Common Fixed Points of a Finite Family of Asymptotically Nonexpansive Mappings
Xiang Chang-he · Chongqing Shifan Daxue xuebao. Ziran kexue ban · 2007
Let E be a uniformly convex Banach space satisfying Opial's condition,C be a nonempty closed convex subset of E,and T_1,T_2…,T_N:C→C be N asymptotically nonexpansive mappings with common fixed points.This paper proves that,under different conditions,the generalized N-step iterative sequence with errors converges weakly and converges strongly to a common fixed point of T_1,T_2,…T_N respectively.