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The global exponential stability of a dynamical system for solving variational inequalities

The global exponential stability of a dynamical system for solving variational inequalities
The global exponential stability of a dynamical system for solving variational inequalities
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.
1566-113X
1-13
Vuong, Phan Tu
52577e5d-ebe9-4a43-b5e7-68aa06cfdcaf
Vuong, Phan Tu
52577e5d-ebe9-4a43-b5e7-68aa06cfdcaf

Vuong, Phan Tu (2019) The global exponential stability of a dynamical system for solving variational inequalities. Networks and Spatial Economics, 1-13. (doi:10.1007/s11067-019-09457-6).

Record type: Article

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.

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e-pub ahead of print date: 14 March 2019

Identifiers

Local EPrints ID: 434651
URI: http://eprints.soton.ac.uk/id/eprint/434651
ISSN: 1566-113X
PURE UUID: 5151a366-0cfb-4e57-80d6-f1b66a6a0e1f
ORCID for Phan Tu Vuong: ORCID iD orcid.org/0000-0002-1474-994X

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Date deposited: 04 Oct 2019 16:30
Last modified: 16 Mar 2024 04:42

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