Stable Zero Lagrange Duality for DC Conic Programming

D. H. Fang

doi:10.1155/2012/606457

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Home > Journals > J. Appl. Math. > Volume 2012 > Article

2012 Stable Zero Lagrange Duality for DC Conic Programming

D. H. Fang

J. Appl. Math. 2012: 1-17 (2012). DOI: 10.1155/2012/606457

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Abstract

We consider the problems of minimizing a DC function under a cone-convex constraint and a set constraint. By using the infimal convolution of the conjugate functions, we present a new constraint qualification which completely characterizes the Farkas-type lemma and the stable zero Lagrange duality gap property for DC conical programming problems in locally convex spaces.