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SIAMCO
2000
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13 years 10 months ago
Nonsmooth Duality, Sandwich, and Squeeze Theorems
Given a nonlinear function h separating a convex and a concave function, we provide various conditions under which there exists an affine separating function whose graph is somewhe...
A. S. Lewis, R. E. Lucchetti
SIAMJO
2008
84views more  SIAMJO 2008»
13 years 10 months ago
Regularity Conditions via Quasi-Relative Interior in Convex Programming
We give some new regularity conditions for Fenchel duality in separated locally convex vector spaces, written in terms of the notion of quasi interior and quasi-relative interior, ...
Radu Ioan Bot, Ernö Robert Csetnek, Gert Wank...
SIAMJO
2008
100views more  SIAMJO 2008»
13 years 10 months ago
On Extension of Fenchel Duality and its Application
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 ...
Anhua Lin, Guoyin Li, Kung Fu Ng