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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Official URL: http://www.springerlink.com/content/p1q0626q11453542/fulltext.pdf?MUD=MP

## Abstract

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.

Item Type: | Article |
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Uncontrolled Keywords: | Proximal subdifferential; Riemannian manifold; Variational principle; Mean value theorem |

Subjects: | Sciences > Mathematics > Mathematical analysis |

ID Code: | 15202 |

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Deposited On: | 11 May 2012 07:11 |

Last Modified: | 06 Feb 2014 10:18 |

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