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

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 Loan^1* 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