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A Panoramic View on Projected Dynamical Systems

In: Nonlinear Analysis and Variational Problems

Author

Listed:
  • Patrizia Daniele

    (University of Catania)

  • Sofia Giuffré

    (D.I.M.E.T., Mediterranean University)

  • Antonino Maugeri

    (University of Catania)

  • Stephane Pia

    (University of Catania)

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.

Suggested Citation

  • Patrizia Daniele & Sofia Giuffré & Antonino Maugeri & Stephane Pia, 2010. "A Panoramic View on Projected Dynamical Systems," Springer Optimization and Its Applications, in: Panos M. Pardalos & Themistocles M. Rassias & Akhtar A. Khan (ed.), Nonlinear Analysis and Variational Problems, chapter 0, pages 235-258, Springer.
    • Handle: RePEc:spr:spochp:978-1-4419-0158-3_17
    DOI: 10.1007/978-1-4419-0158-3_17
    as

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