Pré-Publication, Document De Travail Année : 2022

What is a Lipschitzian Manifold?

Jean-Paul Penot
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Résumé

We propose a definition of Lipschizian manifold that is more precise than the notion of Lipschitzian parameterization. It is modelled on the notion of differentiable manifold. We also give a notion of Lipschitzian submanifold and compare it with a notion devised by R.T. Rockafellar [30]. We endeavour to give a lucid view of the advantages and limitations of the different concepts. Among the examples we mention, the case of the graph of a maximally monotone operator and of the subjet of a convex function are the most notable.
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Dates et versions

hal-03517061 , version 1 (07-01-2022)

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  • HAL Id : hal-03517061 , version 1

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Jean-Paul Penot. What is a Lipschitzian Manifold?. 2022. ⟨hal-03517061⟩
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