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A Note on Optimality Conditions for DC Programs Involving Composite Functions

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  • Xiang-Kai Sun
  • Hong-Yong Fu

Abstract

By using the formula of the ε‐subdifferential for the sum of a convex function with a composition of convex functions, some necessary and sufficient optimality conditions for a DC programming problem involving a composite function are obtained. As applications, a composed convex optimization problem, a DC optimization problem, and a convex optimization problem with a linear operator are examined at the end of this paper.

Suggested Citation

  • Xiang-Kai Sun & Hong-Yong Fu, 2014. "A Note on Optimality Conditions for DC Programs Involving Composite Functions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:203467
    DOI: 10.1155/2014/203467
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    References listed on IDEAS

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    1. R. Horst & N. V. Thoai, 1999. "DC Programming: Overview," Journal of Optimization Theory and Applications, Springer, vol. 103(1), pages 1-43, October.
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