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

F. Mashkoorzadeh (), N. Movahedian () and S. Nobakhtian ()
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F. Mashkoorzadeh: University of Isfahan
N. Movahedian: University of Isfahan
S. Nobakhtian: University of Isfahan

TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, 2022, vol. 30, issue 2, No 3, 270-295

Abstract: 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.

Keywords: Nonconvex optimization; Nonsmooth optimization; Optimality conditions; Tangential subdifferential; Difference of tangentially convex functions; 90C26; 90C30; 49J52 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s11750-021-00615-z

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