Remarks on General Infinite Dimensional Duality with Cone and Equality Constraints

Year
2009
Type(s)
Author(s)
P. Daniele, S. Giuffrè, A. Maugeri
Source
Communications in Applied Analysis, 13 (4), 2009, 567-578.
BibTeX
BibTeX

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 qualification 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.

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