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.
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Minh, N.B., Tan, N.X. On the Existence of Solutions of Quasi-equilibrium Problems with Constraints. Math Meth Oper Res 64, 17–31 (2006). https://doi.org/10.1007/s00186-006-0059-3
- 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