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Zbl 1003.47049
Li, S.J.; Chen, G.Y.; Teo, K.L.
On the stability of generalized vector quasivariational inequality problems. (English)
[J] J. Optimization Theory Appl. 113, No.2, 283-295 (2002). ISSN 0022-3239; ISSN 1573-2878/e

Summary: We obtain some stability results for generalized vector quasivariational inequality problems. We prove that the solution set is a closed set and establish the upper semicontinuity property of the solution set for perturbed generalized vector quasivariational inequality problems. These results extend those obtained in {\it L. Gong}, J. Optimization Theory Appl. 70, No. 2, 365-375 (1991; Zbl 0737.49010). We obtain also the lower semicontinuity property of the solution set for perturbed classical variational inequalities. Several examples are given for the illustration of our results.

MSC 2000:: *47J20 Inequalities involving nonlinear operators
49K40 Sensitivity of optimal solutions in the presence of perturbations
47H14 Perturbations of nonlinear operators

Keywords: generalized vector quasivariational inequality problems; classical variational inequality problems; stability; uppersemicontinuity; lower semicontinuity

Citations: Zbl 0737.49010

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