增生算子粘性逼近的强收敛定理
Let E be a real Banach space and let A be an m-accretive operator with a zero.Define a sequence {xn} as follows: xn,+1=αnf(xn) + (1-αn)Jrnxn, where {αn}, {rn} are sequences satisfying certain conditions, and Jr denotes the resolvent (I+rA)-1 for r 1. Strong convergence of the algorithm {xn} is obtained provided that E either has a weakly continuous duality map or is uniformly smooth.
作 者： 筵丽霞 周海云 YAN Li Xia ZHOU Hai Yun 作者单位： Department of Mathematics, North China Electric Power University, Hebei 071003, China 刊 名： 数学研究与评论 ISTIC PKU 英文刊名： JOURNAL OF MATHEMATICAL RESEARCH AND EXPOSITION 年，卷(期)： 2008 28(3) 分类号： O177 关键词： fixed point nonexpansive mapping m-accretive operator viscosity approximation weakly continuous duality map uniformly smooth Banach space