Upper semicontinuity of the solution set to parametric vector quasivariational inequalities

被引：43

作者：

Khanh, PQ ^{[1
]}

Luu, LM

机构：

[1] Vietnam Natl Univ, Int Univ, Dept Math, Ho Chi Minh City, Vietnam

[2] Univ Dalat, Dept Math, Da Lat, Vietnam

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2005年 / 32卷 / 04期

关键词：

closedness; lower semicontinuity; multifunctions; quasi-complementarity problems; topological vector spaces; upper semicontinuity; vector quasivariational inequalities;

D O I：

10.1007/s10898-004-2694-7

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：

We prove the upper semicontinuity (in term of the closedness) of the solution set with respect to parameters of vector quasivariational inequalities involving multifunctions in topological vector spaces under the semicontinuity of the data, avoiding monotonicity assumptions. In particular, a new quasivariational inequality problem is proposed. Applications to quasi-complementarity problems are considered.

引用

页码：569 / 580

页数：12

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