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.File in questo prodotto:
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