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Số xuất bản: Tập 14 Số 5 (2025): Chuyên san Khoa học Tự nhiên (Tiếng Anh)
Chuyên mục: Khoa học Tự nhiên (Tiếng Anh)
Ngày xuất bản: 14/12/2024
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Vo, D. T., & Huynh, N. C. (2024). Subdifferentials with degrees of freedom and applications to optimization problems. Natural Sciences Issue, 14(5), 11-19. https://dthujs.vn/index.php/nsen/article/view/1711

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Subdifferentials with degrees of freedom and applications to optimization problems

Vo Duc Thinh1, , Huynh Ngoc Cam1
1 Faculty of Mathematics - Informatics Teacher Education, School of Education, Dong Thap University, Cao Lanh 870000, Vietnam

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Tóm tắt

In this work, we first present a new class of generalized differentials, namely subdifferentials with degrees of freedom as well as their applications in nonsmooth optimization problems. We then establish some computation rules for subdifferentials with degree of frecdom of functions under basic qualification constraints. By using these computation rules, we provide necessary and sufficient conditions for unconstraint optmization problems and for optimization problems with geometric constraints.

Từ khóa

Computation rule, generalized convex function, subdifferential, optimality condition

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Tài liệu tham khảo

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