CONES GENERATED BY SEMI-INFINITE SYSTEMS AND THEIR APPLICATIONS ON OPTIMIZATION

  • Huynh Thi Kim Loan*
  • Vo Duc Thinh
Keywords: Cone generated by semi-infinite system, normal cone, optimality condition, tangent cone.

Abstract

In this paper, we first introduce the cones generated by semi-infinite systems. Then we use approaches of the semi-infinite programming to obtain formulas of normal cones and tangent cones to those cones. Thereby, we use obtained results in providing optimality conditions for conic optimization problems. The obtained results in the paper are new and they are generalized from some existing ones in the literature.

 Author Information

Huynh Thi Kim Loan1* and Vo Duc Thinh2

1ThuyLoi University - Southern Campus

2Departement of Mathemetics Teacher Education, Dong Thap University

*Corresponding author: loanhtk@tlu.edu.vn

Article history

Received: 05/08/2020; Received in revised form: 25/09/2020; Accepted: 28/09/2020

điểm /   đánh giá
Published
2020-10-19
Issue
Vol. 9 No. 5 (2020): English
Section
NGHIÊN CỨU