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Upper semicontinuity of the solution set to parametric vector quasivariational inequalities. (English) Zbl 1097.49013
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:
49J40Variational methods including variational inequalities
47J20Inequalities involving nonlinear operators
90C31Sensitivity, stability, parametric optimization
90C33Complementarity and equilibrium problems; variational inequalities (finite dimensions)
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