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A Panoramic View on Projected Dynamical Systems

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Nonlinear Analysis and Variational Problems

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 35))

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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.

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Author information

Authors and Affiliations

  1. Department of Mathematics and Computer Science, University of Catania, Catania, Italy

    Patrizia Daniele, Antonino Maugeri & Stephane Pia

  2. D.I.M.E.T., Mediterranean University, Reggio Calabria, Italy

    Sofia Giuffré

Authors
  1. Patrizia Daniele
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  2. Sofia Giuffré
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  3. Antonino Maugeri
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  4. Stephane Pia
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Corresponding author

Correspondence to Patrizia Daniele .

Editor information

Editors and Affiliations

  1. Dept. Industrial & Systems, Engineering, University of Florida, Weil Hall 303, Gainesville, 32611-6595, Florida, USA

    Panos M. Pardalos

  2. Zagoras Street 4, Athens, 151 25, Greece

    Themistocles M. Rassias

  3. School of Mathematical Sciences, Rochester Institute of Technology, Lomb Memorial Drive 85, Rochester, 14623-5602, USA

    Akhtar A. Khan

Additional information

Dedicated to the memory of Professor George Isac

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Daniele, P., Giuffré, S., Maugeri, A., Pia, S. (2010). A Panoramic View on Projected Dynamical Systems. In: Pardalos, P., Rassias, T., Khan, A. (eds) Nonlinear Analysis and Variational Problems. Springer Optimization and Its Applications, vol 35. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-0158-3_17

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