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Semicontinuity of the solution set of parametric multivalued vector quasiequilibrium problems |
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| Authors: | L.Q. Anh P.Q. Khanh |
| Affiliation: | a Department of Mathematics, Teacher College, Cantho University, Cantho, Viet Nam b Department of Mathematics, International University, Viet Nam National University, Hochiminh City, 227 Nguyen Van Cu, D.5, Hochiminh City, Viet Nam |
| Abstract: | In this paper we establish sufficient conditions for the solution set of parametric multivalued vector quasiequilibrium problems to be semicontinuous. All kinds of semicontinuity are considered: lower semicontinuity, upper semicontinuity, Hausdorff upper semicontinuity and closedness. Moreover, we investigate both the “weak” and “strong” solutions of quasiequilibrium problems. |
| Keywords: | Quasiequilibrium problems Lower semicontinuity Upper semicontinuity Hausdorff upper semicontinuity Closedness of the solution multifunction Variational inequalities |
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