Minimax theorems and cone saddle points of uniformly same-order vector-valued functions |
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Authors: | D S Shi C Ling |
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Institution: | (1) Department of Mathematical Economics, Zhejang Institute of Finance and Economics, Hangzhou, China |
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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. |
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Keywords: | Uniformly same-order functions vector-valued functions sequentially compact sets cone saddle points minimax theorems |
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