ITERATIVE METHODS FOR SOLVING SYSTEMS OF VARIATIONAL INEQUALITIES IN REFLEXIVE BANACH SPACES

被引：144

作者：

Kassay, Gabor ^{[2
]}

Reich, Simeon ^{[1
]}

Sabach, Shoham ^{[1
]}

机构：

[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

[2] Univ Babes Bolyai, Fac Math & Comp Sci, Cluj Napoca 400084, Romania

来源：

SIAM JOURNAL ON OPTIMIZATION | 2011年 / 21卷 / 04期

基金：

以色列科学基金会;

关键词：

Banach space; Bregman distance; Bregman firmly nonexpansive operator; Bregman inverse strongly monotone mapping; Bregman projection; hemicontinuous mapping; iterative algorithm; Legendre function; monotone mapping; pseudomonotone mapping; totally convex function; variational inequality; EQUILIBRIUM PROBLEMS; TOTAL CONVEXITY; PROXIMAL METHOD; CONVERGENCE; OPERATORS; ALGORITHMS; EXISTENCE; EQUATIONS;

D O I：

10.1137/110820002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove strong convergence theorems for three iterative algorithms which approximate solutions to systems of variational inequalities for mappings of monotone type. All the theorems are set in reflexive Banach spaces and take into account possible computational errors.

引用

页码：1319 / 1344

页数：26

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