Maximal element theorems in product FC-spaces and generalized games |
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Authors: | Xie Ping Ding |
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Institution: | College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, PR China |
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Abstract: | Let I be a finite or infinite index set, X be a topological space and (Yi,{φNi})i∈I be a family of finitely continuous topological spaces (in short, FC-space). For each i∈I, let be a set-valued mapping. Some existence theorems of maximal elements for the family {Ai}i∈I are established under noncompact setting of FC-spaces. As applications, some equilibrium existence theorems for generalized games with fuzzy constraint correspondences are proved in noncompact FC-spaces. These theorems improve, unify and generalize many important results in recent literature. |
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Keywords: | Maximal element Generalized game Fuzzy constraint Equilibrium FC-space |
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