Semicontinuity of the solution map of quasivariational inequalities

D. Aussel; J. Cotrina

doi:10.1007/s10898-011-9652-y

Semicontinuity of the solution map of quasivariational inequalities

D. Aussel, J. Cotrina

Research output: Contribution to journal › Conference article › peer-review

9 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	93-105
Number of pages	13
Journal	Journal of Global Optimization
Volume	50
Issue number	1
DOIs	https://doi.org/10.1007/s10898-011-9652-y
State	Published - 1 May 2011
Externally published	Yes

Keywords

Closedness
Lower semicontinuity
Quasimonotonicity
Quasivariational inequality

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10.1007/s10898-011-9652-y

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abstract = "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.",

keywords = "Closedness, Lower semicontinuity, Quasimonotonicity, Quasivariational inequality, Closedness, Lower semicontinuity, Quasimonotonicity, Quasivariational inequality",

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AU - Cotrina, J.

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AB - 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.

KW - Closedness

KW - Lower semicontinuity

KW - Quasimonotonicity

KW - Quasivariational inequality

KW - Closedness

KW - Lower semicontinuity

KW - Quasimonotonicity

KW - Quasivariational inequality

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JO - Journal of Global Optimization

JF - Journal of Global Optimization

IS - 1

ER -

Semicontinuity of the solution map of quasivariational inequalities

Abstract

Keywords

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