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Viscosity Approximations by Generalized Contractions for Resolvents of Accretive Operators in Banach Spaces

Viscosity Approximations by Generalized Contractions for Resolvents of Accretive Operators in Banach Spaces
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摘要 In this paper, we prove a strong convergence theorem for resolvents of accretive operators in a Banach space by the viscosity approximation method with a generalized contraction mapping. The proximal point algorithm in a Banach space is also considered. The results extend some very recent theorems of W. Takahashi. In this paper, we prove a strong convergence theorem for resolvents of accretive operators in a Banach space by the viscosity approximation method with a generalized contraction mapping. The proximal point algorithm in a Banach space is also considered. The results extend some very recent theorems of W. Takahashi.
作者 Adrian PETRUSEL Jen-Chih YAO
机构地区 Department of Applied Mathematics Department of Applied Mathematics
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2009年第4期553-564,共12页 数学学报（英文版）
关键词 viscosity approximation method accretive operator generalized contraction resolvent proximal point algorithm viscosity approximation method, accretive operator, generalized contraction, resolvent,proximal point algorithm
分类号 O177.2 [理学—基础数学] O177.91 [理学—基础数学]
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Acta Mathematica Sinica,English Series
2009年 第4期

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