Abstract

We describe some basic facts from the theory of linear error bounds for lower semicontinuous functions on complete metric spaces, relying upon Ekeland's variational principle and on the notion of strong slope. We then show how this variational method yields the classical Banach-Schauder and Lusternik-Graves open mapping theorems

Author information

Contact details are reproduced from the original publication and may be historical.

Dominique Azé

UMR CNRS MIP, Université Paul Sabatier, 118 Route de Narbonne, 31062 Toulouse, France

aze@mip.ups-tlse.fr

Jean-Noël Corvellec

Laboratoire MANO, Université de Perpignan, 52 Avenue Paul Alduy, 66860 Perpignan, France

corvellec@univ-perp.fr

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Suggested citation

D. Azé, J.-N. Corvellec. “Variational Methods in Classical Open Mapping Theorems.” Journal of Convex Analysis 13 (2006), No. 3/4, 477–488. https://doi.org/10.68381/jca13041

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Published by Heldermann Verlag, 2006. Rights now held by Banach Press LLC.