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Issue: Vol. 12 No. 2 (2023): Natural Sciences Issue (Vietnamese)
Section: Natural Sciences Issue (Vietnamese)
DOI: 10.52714/dthu.12.2.2023.1029
Date Published: 14/03/2023
Online Published: 14/03/2023
Views 357
Downloads 197
How to Cite
Pham, N. A. T., Ngo Thi, K. Y., Vo, D. T., & Pham, T. T. C. (2023). Parabolic subdifferential and its applications to optimality conditions. Dong Thap University Journal of Science, 12(2), 27-34. https://doi.org/10.52714/dthu.12.2.2023.1029

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Parabolic subdifferential and its applications to optimality conditions

Ngoc Anh Tho Pham1, Kim Yen Ngo Thi2, , Duc Thinh Vo3, Thi Tran Chau Pham2
1 University of Information Technology, Vietnam National University HCMC, Vietnam
2 Student, Faculty of Mathematics - Informatics Teacher Education, Dong Thap University, Vietnam
3 Faculty of Mathematics - Informatics Teacher Education, Dong Thap University, Vietnam

Main Article Content

Abstract

In this paper, we introduce the notion of parabolic subdifferential of funtions through their parabolic subderivative. Besides, we present some properties of parabolic subdifferential and applications of parabolic subdifferential to necessary optimality conditions. Furthermore, we also establish illustrative examples for the obtained result.

Keywords

Parabolic subderivative, parabolic subdifferential, optimality conditions, locally isolated calmness

Article Details

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

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