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2012 Characterizations of Asymptotic Cone of the Solution Set of a Composite Convex Optimization Problem
Zhe Chen
J. Appl. Math. 2012: 1-7 (2012). DOI: 10.1155/2012/617485

Abstract

We characterize the asymptotic cone of the solution set of a convex composite optimization problem. We then apply the obtained results to study the necessary and sufficient conditions for the nonemptiness and compactness of the solution set of the problem. Our results generalize and improve some known results in literature.

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Zhe Chen. "Characterizations of Asymptotic Cone of the Solution Set of a Composite Convex Optimization Problem." J. Appl. Math. 2012 1 - 7, 2012. https://doi.org/10.1155/2012/617485

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Published: 2012
First available in Project Euclid: 14 December 2012

zbMATH: 1254.90163
MathSciNet: MR2965723
Digital Object Identifier: 10.1155/2012/617485

Rights: Copyright © 2012 Hindawi

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