Weak Convergence Theorems for Nonexpansive Mappings
Gao Gai-liang · Journal of Hebei University · 2004
Introduce an iteration scheme given by finite nonexpansive mappings, we prove the main resulf as follows: Let E be a uniformly convex Banach with Opial's condition, C be a nonempty convex sabsct of E,( T_i:C→C(i=1,2,)...,r)be finite nonexpansive mappings, ∩~r_(i=1)F(T_i)≠. let x_1∈C, iterative scheme {x_n} definited as follow:x_(n+1)=W_nx_n,_n≥1.where W_n(n=1,2,...)are W-mappings gcnerated by T_1,T_2,...,T_r, them{x_n}converges weedly to the common fixed point of T_1,T_2,...,T_r.