Characterizations of Asymptotic Cone of the Solution Set of a Composite Convex Optimization Problem

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 kno...

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Bibliographic Details
Main Author: Zhe Chen
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/617485
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