A Panoramic View on Projected Dynamical Systems

Patrizia Daniele (), Sofia Giuffré (), Antonino Maugeri () and Stephane Pia ()
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Patrizia Daniele: University of Catania
Sofia Giuffré: D.I.M.E.T., Mediterranean University
Antonino Maugeri: University of Catania
Stephane Pia: University of Catania

Chapter Chapter 17 in Nonlinear Analysis and Variational Problems, 2010, pp 235-258 from Springer

Abstract: Abstract The theory of generalized projections both in non-pivot Hilbert spaces and strictly convex and smooth Banach spaces is developed and the related theory of projected dynamical systems is highlighted. A particular emphasis is given to the equivalence between solutions of variational inequality and critical points of projected dynamical systems.

Keywords: Hilbert Space; Banach Space; Variational Inequality; Equilibrium Problem; Duality Pairing (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-1-4419-0158-3_17

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DOI: 10.1007/978-1-4419-0158-3_17

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