Semicontinuity of the solution map of quasivariational inequalities (original) (raw)

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.

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Authors and Affiliations

  1. Lab. PROMES, Université de Perpignan, Perpignan, France
    D. Aussel
  2. IMCA, Instituto de Matemática y Ciencias Afines, Universidad Nacional de Ingeniería, Calle Los Biólogos 245 Urb. San Cesar, La Molina, Lima 12, Perú
    J. Cotrina

Authors

  1. D. Aussel
  2. J. Cotrina

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Correspondence toD. Aussel.

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Aussel, D., Cotrina, J. Semicontinuity of the solution map of quasivariational inequalities.J Glob Optim 50, 93–105 (2011). https://doi.org/10.1007/s10898-011-9652-y

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