A theorem of the alternative and a two-function minimax theorem
نویسندگان
چکیده
منابع مشابه
A Theorem of the Alternative and a Two-function Minimax Theorem
“Theorem of the alternative” is the generic name of different results used as an important tool in optimization. Though the early versions have been obtained under strong conditions of convexity, for the further extensions, these conditions have been weakened using generalized convexity beyond vector space structure. This is the case of the result proved by Jeyakumar [4], who used an extension ...
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This paper is in two main parts. The first three sections give various result about bounded functions on an abstract set, while the last section is more functional–analytic in character. The main functional–analytic result is Theorem 14, which contains a sufficient condition for the minimax relation to hold for the canonical bilinear form on X × Y , where X is a nonempty convex subset of a real...
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ژورنال
عنوان ژورنال: Journal of Applied Mathematics
سال: 2004
ISSN: 1110-757X,1687-0042
DOI: 10.1155/s1110757x04304018