Applications of proximal calculus to fixed point theory on Riemannian manifolds |
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Authors: | Daniel Azagra Juan Ferrera |
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Affiliation: | Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad Complutense, 28040 Madrid, Spain |
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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. |
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Keywords: | 49J52 58E30 58C30 47H10 |
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