Ferrera Cuesta, Juan and Azagra Rueda, Daniel (2005) Proximal calculus on Riemannian manifolds. Mediterranean journal of mathematics, 2 (4). pp. 437-450. ISSN 1660-5446
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We introduce a proximal subdifferential and develop a calculus for nonsmooth functions defined on any Riemannian manifold M. We give some applications of this theory, concerning, for instance, a Borwein-Preiss type variational principle on a Riemannian manifold M, as well as differentiability and geometrical properties of the distance function to a closed subset C of M.
|Uncontrolled Keywords:||Proximal subdifferential; Riemannian manifold; Variational principle; Mean value theorem|
|Subjects:||Sciences > Mathematics > Mathematical analysis|
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|Deposited On:||11 May 2012 07:11|
|Last Modified:||06 Feb 2014 10:18|
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