Well-posedness for equilibrium problems and for optimization problems with equilibrium constraints

被引：77

作者：

Fang, Ya-Ping ^{[1
]}

Hu, Rong ^{[2
]}

Huang, Nan-Jing ^{[1
]}

机构：

[1] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China

[2] Chengdu Univ Informat & Technol, Dept Computat Sci, Chengdu 610065, Sichuan, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2008年 / 55卷 / 01期

基金：

中国国家自然科学基金; 高等学校博士学科点专项科研基金;

关键词：

equilibrium problems; optimization problems with equilibrium constraints; well-posedness; metric characterizations; monotonicity;

D O I：

10.1016/j.camwa.2007.03.019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we generalize the concepts of well-posedness to equilibrium problems and to optimization problems with equilibrium constraints. We establish some metric characterizations of well-posedness for equilibrium problems and for optimization problems with equilibrium constraints. We prove that under suitable conditions, the well-posedness is equivalent to the existence and uniqueness of solutions. The corresponding concepts of well-posedness in the generalized sense are also introduced and investigated for equilibrium problems and for optimization problems with equilibrium constraints. (c) 2007 Elsevier Ltd. All rights reserved.

引用

页码：89 / 100

页数：12

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