Semicontinuity of the solution map of quasivariational inequalities

被引：9

作者：

Aussel, D. ^{[1
]}

Cotrina, J. ^{[2
]}

机构：

[1] Univ Perpignan, Lab PROMES, F-66025 Perpignan, France

[2] Univ Nacl Ingn, Inst Matemat & Ciencias Afines, IMCA, Lima 12, Peru

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2011年 / 50卷 / 01期

关键词：

Quasivariational inequality; Quasimonotonicity; Lower semicontinuity; Closedness; SOLUTION SETS; COMPLEMENTARITY-PROBLEMS; CONVEX-SETS; INCLUSIONS;

D O I：

10.1007/s10898-011-9652-y

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 investigate continuity properties (closedness and lower semicontinuity) of the solution map of a quasivariational inequality which is subjet to perturbations. Perturbations are here considered both on the set-valued operator and on the constraint map defining the quasivariational inequality. Two concepts of solution map will be considered.

引用

页码：93 / 105

页数：13

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