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Minimax theorems and cone saddle points of uniformly same-order vector-valued functions

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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.

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Authors and Affiliations

  1. Department of Mathematical Economics, Zhejang Institute of Finance and Economics, Hangzhou, China

    D. S. Shi (Professor) & C. Ling (Instructor)

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  1. D. S. Shi
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  2. C. Ling
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Communicated by P. L. Yu

The authors would like to thank two anonymous referees for helpful comments.

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Shi, D.S., Ling, C. Minimax theorems and cone saddle points of uniformly same-order vector-valued functions. J Optim Theory Appl 84, 575–587 (1995). https://doi.org/10.1007/BF02191986

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  • DOI: https://doi.org/10.1007/BF02191986

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