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Generalized Game and System of Generalized Vector Quasi-equilibrium Problems in G -convex Spaces
G -凸空间中的广义对策和广义矢量拟平衡问题组

Keywords: Maximal element,Generalized game,System of generalized vector quasi-equilibrium problems,Product G-convex spaces
极大元
,广义对策,广义矢量拟平衡问题组,乘积G-凸空间

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Abstract:

A new class of system of generalized vector quasi-equilibrium problems (SGVQEP) is introduced and studied in generalized convex spaces.By using an existence theorem of maximal elements for a family of set-valued mappings due to the author,a new equilibrium ex- istence theorem for generalized games is proved.As applications,some new existence theorems of solutions for the SGVQEP are established in noncompact product G-convex spaces.

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