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Date Published: 14/03/2024
Online Published: 14/03/2024
Abstract Views: 69
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DOI: https://doi.org/10.52714/dthu.13.2.2024.1241
Issue
Vol. 13 No. 2 (2024): Natural Sciences Issue (Vietnamese)
Section
Natural Sciences Issue
How to Cite
Vo, D. T., & Huynh, N. C. (2024). Derivatives with degree of freedom of multifunctions and application. Dong Thap University Journal of Science, 13(2), 116-120. https://doi.org/10.52714/dthu.13.2.2024.1241

Derivatives with degree of freedom of multifunctions and application

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

Main Article Content

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.

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

Keywords

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

References

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