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Zbl 0808.90108
Lai, H.C.; Szilágyi, P.
Alternative theorems and saddlepoint results for convex programming problems of set functions with values in ordered vector spaces.
(English)
[J] Acta Math. Hung. 63, No.3, 231-241 (1994). ISSN 0236-5294; ISSN 1588-2632/e

Some alternative theorems and saddle point results for convex set functions with values in an ordered vector space are given. These results are generalizations of some similar convex versions in finite dimensions by Farkas, Ky Fan and two saddle point theorems of the Lagrangian.
[S.Mititelu (Bucureşti)]
MSC 2000:
*90C25 Convex programming
90C48 Programming in abstract spaces

Keywords: alternative theorems; saddle point results

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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