Maximal Element Theorems with Applications to Generalized Games and Systems of Generalized Vector Quasi-Equilibrium Problems in G-Convex Spaces |
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Authors: | X. P. Ding J. C. Yao |
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Affiliation: | (1) Professor, College of Mathematics and Software Science, Sichuan Normal University, Chengdu, Sichuan, PR China;(2) Professor, Department of Applied Mathematics, National Sun Yat-Sen University, Kaohsiung, Taiwan, ROC |
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Abstract: | By applying the maximal element theorems on product of G-convex spaces due to the first author, some equilibrium existence theorems for generalized games with fuzzy constraint correspondences are proved in G-convex spaces. As applications, some existence theorems of solutions for the system of generalized vector quasiequilibrium problem are established in noncompact product of G-convex spaces. Our results improve and generalize some recent results in the literature to product of G-convex spaces.The authors thank the referees for valuable comments and suggestionsThe research of this author was supported by the National Science Foundation of China, Sichuan Education Department.The research of this author was supported by the National Science Council of the Republic of China. |
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Keywords: | Maximal elements generalized games equilibrium points systems of generalized vector quasiequilibrium problems product of G-convex spaces |
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