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Banach空间的上带松弛共强制的广义隐式变分包含组

柏传志

应用数学2007,Vol.20Issue(3):535-540,6.
应用数学2007,Vol.20Issue(3):535-540,6.

Banach空间的上带松弛共强制的广义隐式变分包含组

Ceneralized System for Relaxed Cocoercive Implicit Variational Inclusions in Banach Spaces

柏传志1

作者信息

  • 1. 淮阴师范学院数学系,江苏,淮安,223300
  • 折叠

摘要

Abstract

We introduce and study a system of nonlinear implicit variational inclusions (SNIVI) with relaxed cocoercive mappings in real Banach spaces.By using resolvent operator technique for M-accretive mapping,we construct a new class of iterative algorithms for solving this class of system of implicit variational inclusions.The convergence of iterative algorithms be proved in q-uniformly smooth Banach spaces.Our results generalize and improve the corresponding results of recent works.

关键词

非线性广义隐式变分包含组/预解算子/M-增殖算子/迭代算法/收敛性

Key words

System of nonlinear implicit variational inclusion/Resolvent operator/M-accretive mapping/Iterative algorithm/Convergence

分类

数理科学

引用本文复制引用

柏传志..Banach空间的上带松弛共强制的广义隐式变分包含组[J].应用数学,2007,20(3):535-540,6.

基金项目

Supported by the Natural Science Foundation of Jiangsu Education Office (06KJB110010) and Jiangsu Planned Projects for Postdoctoral Research Funds (203003401) (06KJB110010)

应用数学

OA北大核心CSCDCSTPCD

1001-9847

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