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Applications of proximal calculus to fixed point theory on Riemannian manifolds

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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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
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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