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Research Article Open access CC BY 2.0

A Weaker Condition for Stable Lagrange Duality in DC Conic Programming

Mengdan Wang, Donghui Fang

Journal of Advances in Mathematics and Computer Science · pp. 1202–1212 · Published 25 Feb 2014

10.9734/BJMCS/2014/8708

Abstract

We consider the DC conic programming in locally convex Hausdorff vector spaces. By using the infimal convolution of the conjugate functions, we present a new regularity condition, which turns out to be weaker than the regularity conditions given so far in the literature. Moreover, it provides a sufficient and necessary condition for the stable Lagrange duality for the DC conic programming.

Regular condition Lagrange duality Fenchel-Lagrange duality DC conic programming.

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