4 citations · 7 across the 4 of their papers we have counts for
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Inf-convolution and regularization of convex functions on Riemannian manifolds of nonpositive curvature
Daniel Azagra, Juan Ferrera
We show how an operation of inf-convolution can be used to approximate convex functions with smooth convex functions on Riemannian manifolds with nonpositive curvature (in…
Proximal calculus on Riemannian manifolds, with applications to fixed point theory
Daniel Azagra, Juan Ferrera
We introduce a proximal subdifferential and develop a calculus for nonsmooth functions defined on any Riemannian manifold . We give several applications of this theory, concerni…
Nonsmooth analysis and Hamilton-Jacobi equations on Riemannian manifolds
Daniel Azagra, Juan Ferrera, Fernando Lopez-Mesas
We establish some perturbed minimization principles, and we develop a theory of subdifferential calculus, for functions defined on Riemannian manifolds. Then we apply these results…
Uniform approximation of continuous mappings by smooth mappings with no critical points on Hilbert manifolds
Daniel Azagra, Manuel Cepedello Boiso
We prove that every continuous mapping from a separable infinite-dimensional Hilbert space into can be uniformly approximated by smooth mappings {\e…
Uniform approximation of continuous functions by smooth functions with no critical points on Hilbert manifolds
Daniel Azagra, Manuel Cepedello Boiso
We prove that every continuous function on a separable infinite-dimensional Hilbert space X can be uniformly approximated by smooth functions with no critical points. This kind of…