The existence of solutions for the system of generalized vector quasi-equilibrium problems |
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Institution: | 1. Department of Applied Mathematics, Zhejiang University, Hangzhou 310027, PR China;2. School of Information Science, Guizhou College of Finance and Economics, Guiyang 550004, PR China;3. Science and Technology Department of Guizhou Province, Guiyang 550002, PR China |
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Abstract: | In this paper, we study the system of generalized vector quasi-equilibrium problems which includes as special cases the system of generalized vector equilibrium problems and the system of vector quasi-equilibrium problems, and establish the existence result for its solutions by means of the Kakutani–Fan–Glicksberg fixed points theorem. As special cases, we also derive the existence results for weakly Pareto–Nash equilibrium points for multiobjective generalized game problems and multiobjective game problems. |
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