Minimax Results and Finite-Dimensional Separation |
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Authors: | JFB Frenk G Kassay |
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Institution: | (1) Econometric Institute, Erasmus University Rotterdam, Rotterdam, Netherlands;(2) Faculty of Mathematics and Informatics, Babes–Bolyai University, Cluj, Romania |
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Abstract: | In this paper, we review and unify some classes of generalized convex functions introduced by different authors to prove minimax results in infinite-dimensional spaces and show the relations between these classes. We list also for the most general class already introduced by Jeyakumar (Ref. 1) an elementary proof of a minimax result. The proof of this result uses only a finite-dimensional separa- tion theorem; although this minimax result was already presented by Neumann (Ref. 2) and independently by Jeyakumar (Ref. 1), we believe that the present proof is shorter and more transparent. |
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Keywords: | Generalized convex functions minimax theorems |
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