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

被引：0

作者：

F. Mashkoorzadeh

N. Movahedian

S. Nobakhtian

机构：

[1] University of Isfahan,Department of Applied Mathematics and Computer Science, Faculty of Mathematics and Statistics

来源：

TOP | 2022年 / 30卷

关键词：

Nonconvex optimization; Nonsmooth optimization; Optimality conditions; Tangential subdifferential; Difference of tangentially convex functions; 90C26; 90C30; 49J52;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

引用

页码：270 / 295

页数：25

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