Semicontinuity of the solution map of quasivariational inequalities

Authors:
D. Aussel;J. Cotrina
Affiliations:
Lab. PROMES, Université de Perpignan, Perpignan, France;IMCA, Instituto de Matemática y Ciencias Afines, Universidad Nacional de Ingeniería, La Molina, Perú
Venue:
Journal of Global Optimization
Year:
2011

Citing 2
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Upper Semicontinuity of the Solution set to Parametric Vector Quasivariational Inequalities

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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.