Modified Iterative Algorithms for Nonexpansive Mappings

[摘要] LetHbe a real Hilbert space, letS,Tbe two nonexpansive mappings such thatF(S)∩F(T)≠∅, letfbe a contractive mapping, and letAbe a strongly positive linear bounded operator onH. In this paper, we suggest and consider the strong converegence analysis of a new two-step iterative algorithms for finding the approximate solution of two nonexpansive mappings asxn+1=βnxn+(1−βn)Syn,yn=αnγf(xn)+(I−αnA)Txn,n≥0is a real number and{αn},{βn}are two sequences in(0,1)satisfying the followingcontrol conditions:(C1)lim n→∞ αn=0, (C3)0

[学科分类] 应用数学