Projected Dynamical Systems, Evolutionary Variational Inequalities, Applications, and a Computational Procedure

Year
2008
Type(s)
Author(s)
M.G. Cojocaru, P. Daniele, A. Nagurney
Source
Pareto Optimality, Game Theory and Equilibria, A. Chinchuluun – A. Migdalas – P.M. Pardalos – L. Pitsoulis Eds., Springer Optimization and its Applications, Springer, New York, 2008, 387-406.
Url
http://goo.gl/SizciF

In this paper, we establish the equivalence between the solutions to an evolutionary variational inequality and the critical points of a projected dynamical system in infinite-dimensional spaces. We then present an algorithm, with convergence results, for the computation of solutions to evolutionary variational inequalities based on a discretization method and with the aid of projected dynamical systems theory. A numerical traffic network example is given for illustrative purposes.

Lascia un commento

Your email address will not be published. Required fields are marked *