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Article Dans Une Revue Nonlinear Analysis: Theory, Methods and Applications Année : 2015

Moreau envelopes of s-lower regular functions

Résumé

The paper investigates various properties of Moreau envelopes and proximal mappings of -lower regular functions. In particular, for such a function on uniformly convex space, the Moreau envelope is shown to be differentiable with its derivative locally Hölder continuous.
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Dates et versions

hal-02072887 , version 1 (19-03-2019)

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I. Kecis, L. Thibault. Moreau envelopes of s-lower regular functions. Nonlinear Analysis: Theory, Methods and Applications, 2015, 127, pp.157-181. ⟨10.1016/j.na.2015.06.015⟩. ⟨hal-02072887⟩
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