On the existence of solutions to generalized quasi-equilibrium problems |
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Authors: | Truong Thi Thuy Duong Nguyen Xuan Tan |
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Affiliation: | 1.Vinh Technical Teachers Training University,Vinh City,Vietnam;2.Institute of Mathematics,Hanoi,Vietnam |
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Abstract: | In this paper, we apply new results on variational relation problems obtained by D. T. Luc (J Optim Theory Appl 138:65–76, 2008) to generalized quasi-equilibrium problems. Some sufficient conditions on the existence of its solutions of generalized quasi-equilibrium problems are shown. As special cases, we obtain several results on the existence of solutions of generalized Pareto and weak quasi-equilibrium problems concerning C-pseudomonotone multivalued mappings. We deduce also some results on the existence of solutions to generalized vector Pareto and weakly quasivariational inequality and vector Pareto quasi-optimization problems with multivalued mappings. |
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