Pre-Publicación 2012-19
Fabián Flores-Bazán, Giandomenico Mastroeni:
Strong duality in cone constrained nonconvex optimization: a general approach with applications to nonconvex variational problems
Abstract:
In this paper we deepen the analysis of the conditions that ensure strong duality for a cone constrained nonconvex optimization problem. Our conditions can be used where no previous result is applicable, even in a finite dimensional setting or convex situations. An application to Calculus of Variations without the standard convexity assumption yielding zero duality gap and strong duality is provided.
Esta prepublicacion dio origen a la(s) siguiente(s) publicación(es) definitiva(s):
Fabián FLORES-BAZáN, Giandomenico MASTROENI: Strong duality in cone constrained nonconvex optimization: a general approach with applications to nonconvex variational problems. SIAM Journal on Optimization, vol. 23, 1, pp. 153-169, (2013).