Nonlinear extended variational inequalities without differentiability: Applications and solution methods

被引：4

作者：

Konnov, I. V. ^{[1
]}

机构：

[1] Kazan VI Lenin State Univ, Dept Syst Anal & Informat Technol, Kazan 420008, Russia

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 69卷 / 01期

关键词：

extended variational inequality; non-differentiable mappings; combined relaxation method; equilibrium problems; composite optimization; descent method;

D O I：

10.1016/j.na.2007.04.035

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a class of nonlinear problems which is intermediate between equilibrium and variational inequality ones. Several classes of applications Of Such problems are described. Iterative methods are proposed for finding a Solution. The methods are utilized without differentiability properties of the mappings and converge to a Solution under weakened monotonicity type assumptions. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：1 / 13

页数：13

共 47 条

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