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Ngày xuất bản: 10/10/2020
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DOI: https://doi.org/10.52714/dthu.9.5.2020.813
Số xuất bản
Tập 9 Số 5 (2020): Chuyên san Khoa học Tự nhiên (Tiếng Anh)
Chuyên mục
Khoa học Tự nhiên (Tiếng Anh)
Trích dẫn bài báo
Huynh, T. K. L., & Vo, D. T. (2020). Cones generated by semi-infinite systems and their applications on optimization. Tạp chí Khoa học Đại học Đồng Tháp, 9(5), 17-25. https://doi.org/10.52714/dthu.9.5.2020.813

Cones generated by semi-infinite systems and their applications on optimization

Huynh Thi Kim Loan1, , Vo Duc Thinh2
1 ThuyLoi University - Southern Campus, Vietnam
2 Departement of Mathemetics Teacher Education, Dong Thap University, Vietnam

Nội dung chính của bài viết

Tóm tắt

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.

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Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

Từ khóa

Cone generated by semi-infinite system, normal cone, optimality condition, tangent cone

Tài liệu tham khảo

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