数学物理学报(英文版)

• 论文 • 上一篇    下一篇

THE TANGENT CONES ON CONSTRAINT QUALIFICATIONS IN OPTIMIZATION PROBLEMS

黄龙光   

  1. 集美大学理学院, 厦门 361021
  • 收稿日期:2006-03-17 修回日期:2006-12-25 出版日期:2008-10-20 发布日期:2008-10-20
  • 通讯作者: 黄龙光
  • 基金资助:

    Supported by the Natural Science Foundation of Fujian Province of China (S0650021, 2006J0215)and supported by the National Natural Science Foundation of China (10771086)

THE TANGENT CONES ON CONSTRAINT QUALIFICATIONS IN OPTIMIZATION PROBLEMS

Huang Longguang   

  1. School of Science, Jimei University, Xiamen 361021,China
  • Received:2006-03-17 Revised:2006-12-25 Online:2008-10-20 Published:2008-10-20
  • Contact: Huang Longguang

摘要:

This article proposes a few tangent cones, which are relative to the constraint qualifications of optimization problems. With the upper and lower directional derivatives of an objective function, the characteristics of cones on the constraint qualifications are presented. The interrelations among the constraint qualifications, a few cones involved, and level sets of upper and lower directional derivatives are derived.

关键词: Constraint qualifications, upper directional derivatives, lower directional derivatives, strongly directional differentiable, concave functions

Abstract:

This article proposes a few tangent cones, which are relative to the constraint qualifications of optimization problems. With the upper and lower directional derivatives of an objective function, the characteristics of cones on the constraint qualifications are presented. The interrelations among the constraint qualifications, a few cones involved, and level sets of upper and lower directional derivatives are derived.

Key words: Constraint qualifications, upper directional derivatives, lower directional derivatives, strongly directional differentiable, concave functions

中图分类号: 

  • 49J52