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

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  • Phan Tu Vuong

    (Ton Duc Thang University
    Ton Duc Thang University)

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.

Suggested Citation

  • Phan Tu Vuong, 2022. "The Global Exponential Stability of a Dynamical System for Solving Variational Inequalities," Networks and Spatial Economics, Springer, vol. 22(2), pages 395-407, June.
  • Handle: RePEc:kap:netspa:v:22:y:2022:i:2:d:10.1007_s11067-019-09457-6
    DOI: 10.1007/s11067-019-09457-6
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    References listed on IDEAS

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    1. M. Pappalardo & M. Passacantando, 2002. "Stability for Equilibrium Problems: From Variational Inequalities to Dynamical Systems," Journal of Optimization Theory and Applications, Springer, vol. 113(3), pages 567-582, June.
    2. Pham Khanh & Phan Vuong, 2014. "Modified projection method for strongly pseudomonotone variational inequalities," Journal of Global Optimization, Springer, vol. 58(2), pages 341-350, February.
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