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Minimax theorems and cone saddle points of uniformly same-order vector-valued functions
Authors:D S Shi  C Ling
Institution:(1) Department of Mathematical Economics, Zhejang Institute of Finance and Economics, Hangzhou, China
Abstract:This paper is concerned with minimax theorems in vectorvalued optimization. A class of vector-valued functions which includes separated functionsf(x, y)=u(x)+v(y) as its proper subset is introduced. Minimax theorems and cone saddle-point theorems for this class of functions are investigated.The authors would like to thank two anonymous referees for helpful comments.
Keywords:Uniformly same-order functions  vector-valued functions  sequentially compact sets  cone saddle points  minimax theorems
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