Maximal Element Theorems with Applications to Generalized Games and Systems of Generalized Vector Quasi-Equilibrium Problems in G-Convex Spaces

X. P. Ding and J. C. Yao
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X. P. Ding: Sichuan Normal University
J. C. Yao: National Sun Yat-Sen University

Journal of Optimization Theory and Applications, 2005, vol. 126, issue 3, No 5, 588 pages

Abstract: 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.

Keywords: Maximal elements; generalized games; equilibrium points; systems of generalized vector quasiequilibrium problems; product of G-convex spaces (search for similar items in EconPapers)
Date: 2005
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DOI: 10.1007/s10957-005-5498-0

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