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

F. Mashkoorzadeh ^[1] ; N. Movahedian ^[1] ; S. Nobakhtian ^[1]
1. [1] University of Isfahan
  
  University of Isfahan
  
  Irán
Localización: Top, ISSN-e 1863-8279, ISSN 1134-5764, Vol. 30, Nº. 2, 2022, págs. 270-295
Idioma: inglés
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Resumen
- 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 diference 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 efectiveness of the obtained results.