Projected dynamical systems and evolutionary variational inequalities via Hilbert spaces with applications
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DOI: 10.1007/s10957-005-7502-0
Abstract
Abstract In this paper, we make explicit the connection between projected dynamical systems on Hilbert spaces and evolutionary variational inequalities. We give a novel formulation that unifies the underlying constraint sets for such inequalities, which arise in time-dependent traffic network, spatial price equilibrium, and a variety of financial equilibrium problems. We emphasize the importance of the results in applications and provide a traffic network numerical example in which we compute the curve of equilibria.
Suggested Citation
Anna Nagurney, Patrizia Daniele, and Monica-Gabriela Cojocaru. "Projected dynamical systems and evolutionary variational inequalities via Hilbert spaces with applications" Journal of Optimization Theory and Applications 27.3 (2005): 1-15.
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