A panoramic view on projected dynamical systems

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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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Daniele, P., Giuffré, S., Maugeri, A., & Pia, S. (2010). A panoramic view on projected dynamical systems. In Springer Optimization and Its Applications (Vol. 35, pp. 235–258). Springer International Publishing. https://doi.org/10.1007/978-1-4419-0158-3_17

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