Levitin-Polyak well-posedness for equilibrium problems with functional constraints

被引：22

作者：

Long, Xian Jun ^{[1
]}

Huang, Nan-Jing ^{[1
,2
]}

Teo, Kok Lay ^{[3
]}

机构：

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

[2] State Key Lab Oil & Gas Reservoir Geol & Exploita, Chengdu 610500, Peoples R China

[3] Curtin Univ Technol, Dept Math & Stat, Perth, WA 6102, Australia

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2008年 / 2008卷 / 1期

关键词：

D O I：

10.1155/2008/657329

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We generalize the notions of Levitin-Polyak well-posedness to an equilibrium problem with both abstract and functional constraints. We introduce several types of (generalized) Levitin-Polyak well-posedness. Some metric characterizations and sufficient conditions for these types of well-posedness are obtained. Some relations among these types of well-posedness are also established under some suitable conditions. Copyright (c) 2008.

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页数：14

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