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Upper Semicontinuity of the Solution set to Parametric Vector Quasivariational Inequalities

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Abstract

We prove the upper semicontinuity (in term of the closedness) of the solution set with respect to parameters of vector quasivariational inequalities involving multifunctions in topological vector spaces under the semicontinuity of the data, avoiding monotonicity assumptions. In particular, a new quasivariational inequality problem is proposed. Applications to quasi-complementarity problems are considered

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Authors and Affiliations

  1. Department of Mathematics International University, Vietnam National University, Hochiminh City, Vietnam

    Phan Quoc Khanh

  2. Department of Mathematics, University of Dalat, Dalat, Vietnam

    Le Minh luu

Authors
  1. Phan Quoc Khanh
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  2. Le Minh luu
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Additional information

This work was partially supported by the program “Optimisation et Mathématiques Appliquées” of C.I.U.F-C.U.D./C.U.I. of Belgium and by the National Basic Research Program in Natural Sciences of NCSR of Vietnam

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Khanh, P.Q., luu, L.M. Upper Semicontinuity of the Solution set to Parametric Vector Quasivariational Inequalities. J Glob Optim 32, 569–580 (2005). https://doi.org/10.1007/s10898-004-2694-7

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  • DOI: https://doi.org/10.1007/s10898-004-2694-7

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