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The Global Exponential Stability of a Dynamical System for Solving Variational Inequalities

  • Phan Tu VuongEmail author
Article
  • 34 Downloads

Abstract

We revisit a dynamical system for solving variational inequalities. Under strongly pseudomonotone and Lipschitz continuous assumptions of the considered operator, we obtain the global exponential stability of the trajectories. Numerical examples are presented confirming the theoretical results. The stability result obtained in this paper improves and complements some recent works.

Keywords

Global exponential stability Dynamical system Strong pseudomonotonicity Variational inequality 

Notes

Acknowledgements

We thank the Editor-in-Chief, Professor Terry L. Friesz and two anonymous referees for their useful comments. This work was supported by the Vietnam National Foundation for Science and Technology Development (NAFOSTED) grant 101.01-2017.315.

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Division of Computational Mathematics and Engineering, Institute for Computational ScienceTon Duc Thang UniversityHo Chi Minh CityVietnam
  2. 2.Faculty of Mathematics and StatisticsTon Duc Thang UniversityHo Chi Minh CityVietnam

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