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Date Published: 14/04/2022
Online Published: 14/04/2022
Abstract Views: 53
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DOI: https://doi.org/10.52714/dthu.11.2.2022.933
Issue
Vol. 11 No. 2 (2022): Natural Sciences Issue (Vietnamese)
Section
Natural Sciences Issue
How to Cite
Dinh, V. H., & Nguyen, D. I. (2022). Properties of scalarizing functions of set optimization problems with variable cones and applications. Dong Thap University Journal of Science, 11(2), 13-18. https://doi.org/10.52714/dthu.11.2.2022.933

Properties of scalarizing functions of set optimization problems with variable cones and applications

Vinh Hien Dinh1,, Dinh Inh Nguyen1
1 Faculty of Applied Sciences, Ho Chi Minh City University of Food Industry, Vietnam

Main Article Content

Abstract

In this paper, we study properties and applications of nonlinear scalarizing functions of set optimization problems with variable cones. First, we extend the nonlinear scalarizing functions in the case of variable cones based on set less order relations. Next, we investigate some basic properties o f such scalarizing functions. Finally, we apply the above properties to establish the optimal conditions for set optimization problems with variable cones. Our results are new or improve the existing ones in the literature.

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

Keywords

Nonlinear scalarizing function, set optimization problem, variable cone

References

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