Lower Semicontinuity and Upper Semicontinuity of the Solution Sets and Approximate Solution Sets of Parametric Multivalued Quasivariational Inequalities

P. Q. Khanh () and L. M. Luu
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P. Q. Khanh: International University of Hochiminh City
L. M. Luu: University of Dalat

Journal of Optimization Theory and Applications, 2007, vol. 133, issue 3, No 4, 329-339

Abstract: Abstract We consider the semicontinuity of the solution set and the approximate solution set of parametric multivalued quasivariational inequalities in topological vector spaces. Three kinds of problems arising from the multivalued situation are investigated. A rather complete picture, which is symmetric for the two kinds of semicontinuity (lower and upper semicontinuity) and for the three kinds of multivalued quasivariational inequality problems, is supplied. Moreover, we use a simple technique to prove the results. The results obtained improve several known ones in the literature.

Keywords: Multivalued quasivariational inequalities; Topological vector spaces; Lower semicontinuity; Upper semicontinuity; ε-Solutions (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (11)

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DOI: 10.1007/s10957-007-9190-4

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