Azagra Rueda, DanielFerrera Cuesta, Juan2023-06-202023-06-202007-07-010362-546X10.1016/j.na.2006.04.019https://hdl.handle.net/20.500.14352/49816We 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.engApplications of proximal calculus to fixed point theory on Riemannian manifoldsjournal articlehttp://www.sciencedirect.com/science/article/pii/S0362546X06002628restricted access517.988.525Proximal subdifferentialRiemannian manifoldsFixed point theoryAnĂ¡lisis funcional y teorĂ­a de operadores