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Date Published: 14/03/2023
Online Published: 14/03/2023
Abstract Views: 93
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DOI: https://doi.org/10.52714/dthu.12.2.2023.1030
Issue
Vol. 12 No. 2 (2023): Natural Sciences Issue (Vietnamese)
Section
Natural Sciences Issue
How to Cite
Tran, M. V., & Tran, V. S. (2023). Second-order necessary optimality condition for weakly efficient solutions in constrained vector optimization problems. Dong Thap University Journal of Science, 12(2), 35-43. https://doi.org/10.52714/dthu.12.2.2023.1030

Second-order necessary optimality condition for weakly efficient solutions in constrained vector optimization problems

Mau Vinh Tran1,, Van Su Tran2
1 Chu Van An Secondary School, Tam Ky, Quang Nam, Vietnam
2 Department of Mathematics, The University of Danang - University of Science and Education, Vietnam

Main Article Content

Abstract

In the paper, we study second-order necessary optimality conditions for a nonsmooth vector optimization problem with set, cone and equality constraints based on the concept of twice continuously directional derivatives in real Banach spaces. For the purpose above, we provide some concepts for weakly efficient solutions to such problem and present some characterizations on twice continuously directional differentiabilities for the class of real-valued functions. Under suitable assumptions, some primal and Fritz John-type dual second-order necessary optimality conditions for the locally weakly efficient solutions of such problem are provided as well. The second-order optimality conditions obtained are new or improve some recent existing ones in the literature.

Article Details

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

Keywords

Nonsmooth vector optimization problems, second-order necessary optimality conditions, weakly efficient solutions, twice continuously directional derivatives

References

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