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 conference › Paper

8 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	93-105
Number of pages	13
DOIs	https://doi.org/10.1007/s10898-011-9652-y
State	Published - 1 May 2011
Externally published	Yes
Event	Journal of Global Optimization - Duration: 1 May 2011 → …

Conference

Conference	Journal of Global Optimization
Period	1/05/11 → …

Keywords

Closedness
Lower semicontinuity
Quasimonotonicity
Quasivariational inequality

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10.1007/s10898-011-9652-y

Cite this

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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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T2 - Journal of Global Optimization

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ER -

Semicontinuity of the solution map of quasivariational inequalities

Abstract

Conference

Keywords

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