Upper Semicontinuity of the Solution set to Parametric Vector Quasivariational Inequalities |
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Authors: | Phan Quoc Khanh Le Minh luu |
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Affiliation: | (1) Department of Mathematics International University, Vietnam National University, Hochiminh City, Vietnam;(2) Department of Mathematics, University of Dalat, Dalat, Vietnam |
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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 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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Keywords: | Closedness Lower semicontinuity Multifunctions Quasi-complementarity problems Topological vector spaces Upper semicontinuity Vector quasivariational inequalities |
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