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Zbl 1097.49013
Khanh, Phan Quoc; Luu, Le Minh
Upper semicontinuity of the solution set to parametric vector quasivariational inequalities. (English)
[J] J. Glob. Optim. 32, No. 4, 569-580 (2005). ISSN 0925-5001; ISSN 1573-2916/e

Summary: 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

MSC 2000:: *49J40 Variational methods including variational inequalities
47J20 Inequalities involving nonlinear operators
90C31 Sensitivity, etc.
90C33 Complementarity problems

Keywords: closedness; lower semicontinuity; multifunctions; quasi-complementarity problems; topological vector spaces; upper semicontinuity; vector quasivariational inequalities

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