REMARKS ON GENERAL INFINITE DIMENSIONAL DUALITY WITH CONE AND EQUALITY CONSTRAINTS

ATRIZIA DANIELE; SOFIA GIUFFRE; ANTONINO MAUGER

Title	REMARKS ON GENERAL INFINITE DIMENSIONAL DUALITY WITH CONE AND EQUALITY CONSTRAINTS
Publication Type	Journal Article
Year of Publication	2009
Authors	DANIELE, ATRIZIA, GIUFFRE, SOFIA, MAUGER, ANTONINO
Volume	13
Issue	4
Pagination	11
Date Published	2009
ISSN	1083-2564
ISBN Number	1
AMS	46A22, 49N15, 90C25
Abstract	We prove a strong duality result between a convex optimization problem with both cone and equality constraints and its Lagrange dual formulation, provided that a constraint qualifi- cation condition related to the notion of quasi-relative interior holds true. In such a way we overcome the difficulty that the interior of the set involved in the regularity condition is empty.
URL	http://www.acadsol.eu/en/articles/13/4/8.pdf
Refereed Designation	Refereed
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