On the solution semicontinuity to a parametric generalized vector quasivariational inequality

被引：32

作者：

Chen, C. R. ^{[1
]}

Li, S. J. ^{[1
]}

Fang, Z. M. ^{[1
]}

机构：

[1] Chongqing Univ, Coll Math & Stat, Chongqing 400030, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 60卷 / 08期

关键词：

Upper semicontinuity; Hausdorff lower semicontinuity; Parametric gap function; Nonlinear scalarization function; Generalized vector quasivariational inequality; OPTIMAL SOLUTION SETS; EQUILIBRIUM PROBLEMS; GAP FUNCTIONS; STABILITY; EXISTENCE; CONTINUITY; INCLUSIONS; THEOREM;

D O I：

10.1016/j.camwa.2010.08.036

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the semicontinuities of the solution set map are investigated for a parametric generalized vector quasivariational inequality in locally convex Hausdorff topological vector spaces. The upper semicontinuity and closedness of the solution set map are obtained. A parametric gap function is proposed by using a nonlinear scalarization function. By virtue of the parametric gap function and a key assumption, the Hausdorff lower semicontinuity of the solution set map is established. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：2417 / 2425

页数：9

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