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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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.
|Uncontrolled Keywords:||Proximal subdifferential; Riemannian manifolds; Fixed point theory;|
|Subjects:||Sciences > Mathematics > Functional analysis and Operator theory|
|Deposited On:||17 Apr 2012 10:58|
|Last Modified:||06 Feb 2014 10:08|
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