Projected Dynamical Systems and Evolutionary Variational Inequalities via Hilbert Spaces with Applications1

M. G. Cojocaru, P. Daniele and A. Nagurney
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M. G. Cojocaru: Department of Mathematics and Statistics
P. Daniele: University of Catania
A. Nagurney: University of Massachusetts

Journal of Optimization Theory and Applications, 2005, vol. 127, issue 3, No 9, 549-563

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.

Keywords: Projected dynamical systems; evolutionary variational inequalities; traffic network equilibrium; spatial price equilibrium; financial equilibrium (search for similar items in EconPapers)
Date: 2005
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Citations: View citations in EconPapers (10)

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DOI: 10.1007/s10957-005-7502-0

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