增生算子粘性逼近的强收敛定理

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  

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