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The DTC (difference of tangentially convex functions) programming: optimality conditions

Author

Listed:
  • F. Mashkoorzadeh

    (University of Isfahan)

  • N. Movahedian

    (University of Isfahan)

  • S. Nobakhtian

    (University of Isfahan)

Abstract

We focus on optimality conditions for an important class of nonconvex and nonsmooth optimization problems, where the objective and constraint functions are presented as a difference of two tangentially convex functions. The main contribution of this paper is to clarify several kinds of stationary solutions and their relations, and establish local optimality conditions with a nonconvex feasible set. Finally, several examples are given to illustrate the effectiveness of the obtained results.

Suggested Citation

  • F. Mashkoorzadeh & N. Movahedian & S. Nobakhtian, 2022. "The DTC (difference of tangentially convex functions) programming: optimality conditions," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 30(2), pages 270-295, July.
    • Handle: RePEc:spr:topjnl:v:30:y:2022:i:2:d:10.1007_s11750-021-00615-z
    DOI: 10.1007/s11750-021-00615-z
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    References listed on IDEAS

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