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

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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… Click to show full 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: variational inequalities; dynamical system; stability; system solving; solving variational; global exponential

Journal Title: Networks and Spatial Economics
Year Published: 2019

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