LEVITIN-POLYAK WELL-POSEDNESS IN GENERALIZED EQUILIBRIUM PROBLEMS WITH FUNCTIONAL CONSTRAINTS

被引：0

作者：

Wang, G. ^{[1
]}

Huang, X. X. ^{[2
]}

Zhang, J. ^{[3
]}

机构：

[1] Qufu Normal Univ, Sch Operat Res & Management Sci, Qufu 276826, Shandong, Peoples R China

[2] Chongqing Univ, Sch Business Adm & Econ, Chongqing 400030, Peoples R China

[3] Chongqing Univ Posts & Telecommun, Inst Appl Math, Chongqing 400065, Peoples R China

来源：

PACIFIC JOURNAL OF OPTIMIZATION | 2010年 / 6卷 / 02期

关键词：

generalized equilibrium problems; well-posedness; set-valued map; approximating solution sequence; VARIATIONAL INEQUALITY PROBLEMS; OPTIMIZATION PROBLEMS;

D O I：

暂无

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, we introduce four types of (generalized) Levitin-Polyak well-posedness for generalized equilibrium problems with abstract and functional constraints. Criteria and characterizations for these types of well-posedness are given. Under suitable conditions, we show that any type of well-posedness of generalized equilibrium problems is equivalent to the nonemptiness and compactness of its solution set.

引用

页码：441 / 453

页数：13

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