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Various kinds of semicontinuity and the solution sets of parametric multivalued symmetric vector quasiequilibrium problems |
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| Authors: | Lam Quoc Anh Phan Quoc Khanh |
| Affiliation: | (1) Department of Mathematics, Teacher College, Cantho University, Cantho, Vietnam;(2) Department of Mathematics, International University of Hochiminh City, Khu pho 6, Linh Trung, Thu Duc, Hochiminh City, Vietnam |
| Abstract: | We introduce some definitions related to semicontinuity of multivalued mappings and discuss various kinds of semicontinuity-related properties. Sufficient conditions for the solution sets of parametric multivalued symmetric vector quasiequilibrium problems to have these properties are established. Comparisons of the solution sets of our two problems are also provided. As an example of applications of our main results, the mentioned semicontinuity-related properties of the solution sets to a lower and upper bounded quasiequilibrium problem are obtained as consequences. |
| Keywords: | U-lower (or upper)-level closednesss U-Hausdorff-lower (or upper)- level closedness U-lower (or upper)-semicontinuity U-Hausdorff-lower (or upper)-semicontinuity (Hausdorff) lower or upper semicontinuity U-inclusion property Symmetric quasiequilibrium problems Lower and upper bounded quasiequilibrium problems Solution sets |
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