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Issue: Vol. 13 No. 2 (2024): Natural Sciences Issue (Vietnamese)
Section: Natural Sciences Issue (Vietnamese)
Date Published: 14/03/2024
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Derivatives with degree of freedom of multifunctions and application

Ngoc Cam Huynh1, , Duc Thinh Vo1
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 introduce some new notions of generalized differentials, namely derivatives with degree of freedom of multifunctions. We then establish the sum rule for these derivatives. And finally, by using this sum rule and some properties of the obtained derivatives, we provide necessary conditions for the stability of multifunction and optimality conditions of set-valued optimization problems.

Keywords

Derivatives with degree of freedom, optimality conditions, set-valued optimization, problems stability of multifunctions

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

References

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