Levitin-Polyak Well-Posedness for Strong Vector Mixed Quasivariational Inequality Problems

被引：0

作者：

Boonman, Panatda ^{[1
]}

Wangkeeree, Rabian ^{[1
]}

Lam Quoc Anh ^{[2
]}

机构：

[1] Naresuan Univ, Fac Sci, Dept Math, Phitsanulok 65000, Thailand

[2] Cantho Univ, Fac Sci, Dept Math, Can Tho, Vietnam

来源：

THAI JOURNAL OF MATHEMATICS | 2018年 / 16卷 / 02期

关键词：

Levitin-Polyak well-posedness; strong vector mixed quasivariational inequality problems; Minty type; Stampacchia type;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we first introduce the concepts of Levitin-Polyak well-posedness and Levitin-Polyak well-posedness in the generalized sense for strong vector mixed quasivariational inequality problems of the Minty type and the Stampacchia type (for short, (MQVI) and (SQVI), respectively). Sufficient conditions for such problems to be Levitin-Polyak well-posedness are established. We also introduce the gap functions for (MQVI) and (SQVI) and study some properties which are used to study the Levitin-Polyak well-posedness for such problems.

引用

页码：383 / 399

页数：17

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