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增生算子粘性逼近的強收斂定理

時間:2023-04-26 21:28:35 數(shù)理化學(xué)論文 我要投稿
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增生算子粘性逼近的強收斂定理

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: 筵麗霞 周海云 YAN Li Xia ZHOU Hai Yun   作者單位: Department of Mathematics, North China Electric Power University, Hebei 071003, China  刊 名: 數(shù)學(xué)研究與評論  ISTIC PKU 英文刊名: JOURNAL OF MATHEMATICAL RESEARCH AND EXPOSITION  年,卷(期): 2008 28(3)  分類號: O177  關(guān)鍵詞: fixed point   nonexpansive mapping   m-accretive operator   viscosity approximation   weakly continuous duality map   uniformly smooth Banach space  

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