ON THE WELL-POSEDNESS OF DIFFERENTIAL MIXED QUASI-VARIATIONAL-INEQUALITIES

被引：29

作者：

Liu, Zhenhai ^{[1
,2
]}

Motreanu, Dumitru ^{[3
]}

Zeng, Shengda ^{[4
]}

机构：

[1] Guangxi Univ Nationalities, Guangxi Key Lab Univ Optimizat Control & Engn Cal, Nanning 530006, Guangxi, Peoples R China

[2] Guangxi Univ Nationalities, Coll Sci, Nanning 530006, Guangxi, Peoples R China

[3] Univ Perpignan, Dept Math, F-66860 Perpignan, France

[4] Jagiellonian Univ, Fac Math & Comp Sci, Inst Comp Sci, Ul Lojasiewicza 6, PL-30348 Krakow, Poland

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2018年 / 51卷 / 01期

关键词：

Differential mixed quasi-variational inequalities; well-posedness; approximating sequence; relaxed alpha-monotonicity; VECTOR EQUILIBRIUM PROBLEMS; FINITE-DIMENSIONAL SPACES; BANACH-SPACES; CONVERGENCE; STABILITY; SETS;

D O I：

10.12775/TMNA.2017.041

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We discuss the well-posedness and the well-posedness in the generalized sense of differential mixed quasi-variational inequalities ((DMQVIs), for short) in Hilbert spaces. This gives us an outlook to the convergence analysis of approximating sequences of solutions for (DMQVIs). Using these concepts we point out the relation between metric characterizations and well-posedness of (DMQVIs). We also prove that the solution set of (DMQVIs) is compact, if problem (DMQVIs) is well-posed in the generalized sense.

引用

页码：135 / 150

页数：16

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