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On the Existence of Solutions of Quasi-equilibrium Problems with Constraints |
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| Authors: | N B Minh N X Tan |
| Institution: | (1) Hanoi University of Commerce, Mai Dich, 10307 Hanoi, Vietnam;(2) Institute of Mathematics, 18 Hoang Quoc Viet Road, 10307 Hanoi, Vietnam |
| Abstract: | The quasi-equilibrium problems with constraints are formulated and some sufficient conditions on the existence of their solutions are shown. As special cases, we obtain several results on the existence of solutions of some vector quasivariational inequality and vector optimization problems. An application of the obtained results is given to show the existence of solutions of quasi-optimization problems with constraints. |
| Keywords: | Upper quasi-equilibrium problem Lower quasi-equilibrium problem α Quasi-optimization problems Vector optimization problem Quasi-equilibrium problems Diagonally quasiconvex functions Diagonally upper and lower (T C)-quasiconvex multivalued mappings Upper and lower C- continuous multivalued mappings |
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