Abstract
We introduce some Projected Dynamical Systems based on metric and generalized Projection Operator in a strictly convex and smooth Banach Space. Then we prove that critical points of these systems coincide with the solution of a Variational Inequality.
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Giuffrè, S., Idone, G. & Pia, S. Some classes of projected dynamical systems in Banach spaces and variational inequalities. J Glob Optim 40, 119–128 (2008). https://doi.org/10.1007/s10898-007-9173-x
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DOI: https://doi.org/10.1007/s10898-007-9173-x