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Issue: Vol. 14 No. 5 (2025): Natural Sciences Issue (English)
Section: Natural Sciences Issue (English)
Date Published: 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

Duc Thinh Vo1, , Ngoc Cam Huynh1
1 Faculty of Mathematics - Informatics Teacher Education, School of Education, Dong Thap University, Cao Lanh 870000, Vietnam

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Abstract

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.

Keywords

Computation rule, generalized convex function, subdifferential, optimality condition

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

References

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