Strong and Weak Convergence of Modified Mann Iteration for New Resolvents of Maximal Monotone Operators in Banach Spaces

被引：3

作者：

Plubtieng, Somyot ^{[1
]}

Sriprad, Wanna ^{[1
]}

机构：

[1] Naresuan Univ, Fac Sci, Dept Math, Phitsanulok 65000, Thailand

来源：

ABSTRACT AND APPLIED ANALYSIS | 2009年

关键词：

THEOREMS; PROJECTION; ALGORITHM;

D O I：

10.1155/2009/795432

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove strong and weak convergence theorems for a new resolvent of maximal monotone operators in a Banach space and give an estimate of the convergence rate of the algorithm. Finally, we apply our convergence theorem to the convex minimization problem. The result present in this paper extend and improve the corresponding result of Ibaraki and Takahashi (2007), and Kim and Xu (2005). Copyright (C) 2009 S. Plubtieng and W. Sriprad.

引用

页数：20