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SIAMJO
2008

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On Extension of Fenchel Duality and its Application

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On Extension of Fenchel Duality and its Application

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By considering the epigraphs of conjugate functions, we extend the Fenchel duality, applicable to a (possibly infinite) family of proper lower semicontinuous convex functions on a Banach space. Applications are given in providing fuzzy KKT conditions for semi-infinite programming. Key words. Fenchel duality, epigraph, KKT conditions, semi-infinite programming. AMS subject classifications. Primary, 90C34; 90C25 Secondary, 52A07; 41A29; 90C46

Anhua Lin, Guoyin Li, Kung Fu Ng

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Added	14 Dec 2010
Updated	14 Dec 2010
Type	Journal
Year	2008
Where	SIAMJO
Authors	Anhua Lin, Guoyin Li, Kung Fu Ng

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