A proximal regularization of the steepest descent method in Riemannian manifold.
da Cruz Neto, J.X., Ferreira, O.P., Lucambio Perez, L.R. (1999)
Balkan Journal of Geometry and its Applications (BJGA)
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da Cruz Neto, J.X., Ferreira, O.P., Lucambio Perez, L.R. (1999)
Balkan Journal of Geometry and its Applications (BJGA)
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We investigate velocity hodograph inclusions for the case of right-hand sides satisfying upper Carathéodory conditions. As an application we obtain an existence theorem for a boundary value problem for second-order differential inclusions on complete Riemannian manifolds with Carathéodory right-hand sides.