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Optimality Conditions in DC-Constrained Mathematical Programming Problems

Author

Listed:
  • Rafael Correa

    (Universidad de O’Higgins
    DIM-CMM of Universidad de Chile)

  • Marco A. López

    (University of Alicante
    Federation University Australia)

  • Pedro Pérez-Aros

    (Universidad de O’Higgins)

Abstract

This paper provides necessary and sufficient optimality conditions for abstract-constrained mathematical programming problems in locally convex spaces under new qualification conditions. Our approach exploits the geometrical properties of certain mappings, in particular their structure as difference of convex functions, and uses techniques of generalized differentiation (subdifferential and coderivative). It turns out that these tools can be used fruitfully out of the scope of Asplund spaces. Applications to infinite, stochastic and semi-definite programming are developed in separate sections.

Suggested Citation

  • Rafael Correa & Marco A. López & Pedro Pérez-Aros, 2023. "Optimality Conditions in DC-Constrained Mathematical Programming Problems," Journal of Optimization Theory and Applications, Springer, vol. 198(3), pages 1191-1225, September.
    • Handle: RePEc:spr:joptap:v:198:y:2023:i:3:d:10.1007_s10957-023-02260-x
    DOI: 10.1007/s10957-023-02260-x
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    References listed on IDEAS

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    1. Lopez, Marco & Still, Georg, 2007. "Semi-infinite programming," European Journal of Operational Research, Elsevier, vol. 180(2), pages 491-518, July.
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