Azagra Rueda, Daniel and Ferrera Cuesta, Juan
(2007)
*Applications of proximal calculus to fixed point theory on Riemannian manifolds.*
Nonlinear Analysis Theory, Methods & Applications, 67
(1).
pp. 154-174.
ISSN 0362-546X

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Official URL: http://www.sciencedirect.com/science/article/pii/S0362546X06002628

## Abstract

We prove a general form of a fixed point theorem for mappings from a Riemannian manifold into itself which are obtained as perturbations of a given mapping by means of general operations which in particular include the cases of sum (when a Lie group structure is given on the manifold) and composition. In order to prove our main result we develop a theory of proximal calculus in the setting of Riemannian manifolds.

Item Type: | Article |
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Uncontrolled Keywords: | Proximal subdifferential; Riemannian manifolds; Fixed point theory; |

Subjects: | Sciences > Mathematics > Functional analysis and Operator theory |

ID Code: | 14760 |

Deposited On: | 17 Apr 2012 10:58 |

Last Modified: | 06 Feb 2014 10:08 |

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