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.

Some Classes of Projected Dynamical Systems in Banach Spaces and Variational inequalities / Giuffre', Sofia; Idone, G; Pia, S. - In: JOURNAL OF GLOBAL OPTIMIZATION. - ISSN 0925-5001. - 40 (1-3):(2008), pp. 119-128. [10.1007/s10898-007-9173-x]

Some Classes of Projected Dynamical Systems in Banach Spaces and Variational inequalities

GIUFFRE', Sofia;
2008-01-01

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.
2008
projected dynamical systems; variational inequalities; equilibrium points; critical points; Alber's decomposition theorem
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12318/3738
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