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Date Published: 10/10/2022
Online Published: 10/10/2022
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DOI: https://doi.org/10.52714/dthu.11.5.2022.974
Issue
Vol. 11 No. 5 (2022): Natural Sciences Issue (English)
Section
Natural Sciences Issue
How to Cite
Nguyen, H. V. D., Nguyen, N. H., & Vo, M. T. (2022). Error bounds for a class of mixed parametric vector quasi-equilibrium problems. Dong Thap University Journal of Science, 11(5), 3-8. https://doi.org/10.52714/dthu.11.5.2022.974

Error bounds for a class of mixed parametric vector quasi-equilibrium problems

Huynh Vu Duy Nguyen1, Ngoc Hien Nguyen2, Minh Tam Vo3,
1 Office of Academic Affairs, Ho Chi Minh City Open University, Vietnam
2 Academic Affairs Office, Dong Thap University, Vietnam
3 Faculty of Mathematics - Informatics Teacher Education, Dong Thap University, Vietnam

Main Article Content

Abstract

In this paper, we establish the regularized gap function for a class of mixed parametric vector quasi- equilibrium problems (briefly, (MPVQEP)y). Then an error bound is also provided for (MPVQEP)g via this gap function under suitable assumptions. Some examples are given to illustrate our results. Our main results extend and differ from those corresponding ones in the current literatures.

Article Details

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

Keywords

Error bound, mixed parametric vector quasi-equilibrium problems, regularized gap function, strongly monotone

References

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