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.
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页码：270 / 295
页数：25
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