Bin Wang
Abstract
The Ky Fan section theorem is generalized to G-convex space.As a case of application,Browder,s fixed point theorem is also further generalized and problems concerning vector valued function such as the minimax value,minimax inequality and saddle point problems are studied in G-convex spaces as well.
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The Ky Fan section theorem is generalized to G-convex space.As a case of application,Browder,s fixed point theorem is also further generalized and problems concerning vector valued function such as the minimax value,minimax inequality and saddle point problems are studied in G-convex spaces as well.
Key concepts: Mathematics, Danskin's theorem, Minimax theorem, Section (typography), Kakutani fixed-point theorem, Fixed-point theorem, Saddle point, Minimax