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

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  • Zhe Chen

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.

Suggested Citation

  • Zhe Chen, 2012. "Characterizations of Asymptotic Cone of the Solution Set of a Composite Convex Optimization Problem," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:617485
    DOI: 10.1155/2012/617485
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    References listed on IDEAS

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    1. Alfred Auslender, 1996. "Noncoercive Optimization Problems," Mathematics of Operations Research, INFORMS, vol. 21(4), pages 769-782, November.
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