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Some classes of projected dynamical systems in Banach spaces and variational inequalities. (English) Zbl 1194.49015

Summary: 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.

MSC:

49J40 Variational inequalities
47J20 Variational and other types of inequalities involving nonlinear operators (general)
47N20 Applications of operator theory to differential and integral equations
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