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Optimality Conditions Characterizing Approximate Solutions for DC Composite Programs

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  • Gang Li
  • Qiqiong Chen

Abstract

This paper concerns DC composite optimization problems with conic constraints. By virtue of epigraph of conjugate functions, we introduce some new regularity conditions. Under the new regularity conditions, we give some necessary optimality conditions for ε-optimal solutions, global optimal solutions, and local optimal solutions by using the ε-subdifferential formula. Moreover, we provide some sufficient optimality conditions for the global optimal solutions. As applications, we also study the composite convex optimization problem and DC optimization problem.

Suggested Citation

  • Gang Li & Qiqiong Chen, 2026. "Optimality Conditions Characterizing Approximate Solutions for DC Composite Programs," Journal of Mathematics, Hindawi, vol. 2026, pages 1-12, June.
    • Handle: RePEc:hin:jjmath:3604946
    DOI: 10.1155/jom/3604946
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