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SYSTEM OF GENERALIZED VECTOR QUASI-EQUILIBRIUM PROBLEMS ON PRODUCT FC-SPACES 被引量:5

SYSTEM OF GENERALIZED VECTOR QUASI-EQUILIBRIUM PROBLEMS ON PRODUCT FC-SPACES
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摘要 By applying a maximal element theorem on product FC-space due to author, some new equilibrium existence theorems for generalized games with fuzzy constraint correspondences are proved in FC-spaces. By using these equilibrium existence theorems, some new existence theorems of solutions for the system of generalized vector quasi-equilibrium problems are established in noncompact product FC-spaces. These results improve and generalize some recent results in literature to product FC-spaces without any convexity structure. By applying a maximal element theorem on product FC-space due to author, some new equilibrium existence theorems for generalized games with fuzzy constraint correspondences are proved in FC-spaces. By using these equilibrium existence theorems, some new existence theorems of solutions for the system of generalized vector quasi-equilibrium problems are established in noncompact product FC-spaces. These results improve and generalize some recent results in literature to product FC-spaces without any convexity structure.
作者 丁协平
出处 《Acta Mathematica Scientia》 SCIE CSCD 2007年第3期522-534,共13页 数学物理学报(B辑英文版)
基金 This project was supported by the NSF of Sichuan Education of China(2003A081)and SZD0406
关键词 Maximal element generalized game equilibrium system of generalized vector quasi-equilibrium problems FC-spaces Maximal element, generalized game, equilibrium, system of generalized vector quasi-equilibrium problems, FC-spaces
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