Proximal calculus on Riemannian manifolds, with applications to fixed point theory

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dc.creatorAzagra, Daniel
dc.creatorFerrera, Juan
dc.date2004-03-26
dc.date.accessioned2026-07-07T05:06:47Z
dc.date.available2026-07-07T05:06:47Z
dc.descriptionWe introduce a proximal subdifferential and develop a calculus for nonsmooth functions defined on any Riemannian manifold $M$. We give several applications of this theory, concerning: 1) differentiability and geometrical properties of the distance function to a closed subset $C$ of $M$; 2) solvability and implicit function theorems for nonsmooth functions on $M$; 3) conditions on the existence of a circumcenter for three different points of $M$; and especially 4) fixed point theorems for expansive and nonexpansive mappings and certain perturbations of such mappings defined on $M$.
dc.description27 pages
dc.identifierhttps://arxiv.org/abs/math/0403465
dc.identifierhttp://arxiv.org/abs/math/0403465
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70610
dc.subjectDifferential Geometry
dc.subjectOptimization and Control
dc.subject58E30; 49J52; 58C30; 47H10
dc.titleProximal calculus on Riemannian manifolds, with applications to fixed point theory
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