Convergence and stability of iterative algorithm for a new system of (A, η)-accretive mapping inclusions in Banach spaces

被引：7

作者：

Jin, Mao-Ming ^{[1
]}

机构：

[1] Yangtze Normal Univ, Dept Math, Chongqing 408003, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2008年 / 56卷 / 09期

基金：

中国国家自然科学基金;

关键词：

(A; eta)-accretive mapping; Relaxed cocoercive mapping; System of (A; eta)-accretive mapping inclusions; Resolvent operator technique; Iterative algorithm; Convergence and stability;

D O I：

10.1016/j.camwa.2008.03.053

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

in this paper, we introduce and study a new system of (A, eta)-accretive mapping inclusions in Banach spaces. Using the resolvent operator associated with (A, eta)-accretive mappings, we suggest a new general algorithm and establish the existence and uniqueness of solutions for this system of (A, eta)-accretive mapping inclusions. Under certain conditions, we discuss the convergence and stability of iterative sequence generated by the algorithm. Our results extend, improve and unify many known results on variational inequalities and variational inclusions. (C) 2008 Published by Elsevier Ltd

引用

页码：2305 / 2311

页数：7

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