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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

49J40Variational methods including variational inequalities
47J20Inequalities involving nonlinear operators
90C31Sensitivity, stability, parametric optimization
90C33Complementarity and equilibrium problems; variational inequalities (finite dimensions)
Full Text: DOI
[4] Cheng Y.H., Zhu D.L. (2004), Global stability results for the weak vector variational inequality, Journal of Global Optimization (this issue) · Zbl 1097.49006
[6] · Zbl 0674.49007 · doi:10.1287/moor.13.3.421
[8] · Zbl 0930.90080 · doi:10.1023/A:1021777217261
[10] · Zbl 0927.49005 · doi:10.1006/jmaa.1998.6193
[15] · Zbl 0208.46301 · doi:10.1007/BF00932464
[17] · Zbl 1059.49017 · doi:10.1007/s10957-004-5722-3
[18] Khanh P.Q., Luu L.M. (2004b). Some existence results for vector quasi-variational inequalities involving multifunctions and applications to traffic equilibrium problems, Journal of Global Optimization (this issue) · Zbl 1097.49012
[21] · Zbl 0951.49031 · doi:10.1137/S036301299833985X
[23] · Zbl 1126.49305 · doi:10.1023/A:1021783313936
[24] · Zbl 0766.49025 · doi:10.1016/0022-247X(92)90207-T
[26] · Zbl 0749.49010 · doi:10.1155/S1048953392000030
[27] · Zbl 0887.49007 · doi:10.1080/02331939708844336
[32] · Zbl 0845.90116 · doi:10.1287/moor.20.3.695