Moreau envelopes of s-lower regular functions

I. Kecis; L. Thibault

doi:10.1016/j.na.2015.06.015

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Moreau envelopes of s-lower regular functions

Journal article

Peer reviewed

Moreau envelopes of s-lower regular functions

I. Kecis and L. Thibault

Nonlinear Analysis: Theory, Methods and Applications, Vol.127, pp.157-181

11/2015

DOI: https://doi.org/10.1016/j.na.2015.06.015

Abstract

Moreau envelope

Proximal mapping

Uniformly convex spaces

Hypomonotone operator

Subdifferential

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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Title: Moreau envelopes of s-lower regular functions
Creators - without role: I. Kecis - Université de Montpellier, Institut Montpelliérain Alexander Grothendieck - IMAG
L. Thibault - Université de Montpellier, Institut Montpelliérain Alexander Grothendieck - IMAG
Publication Details: Nonlinear Analysis: Theory, Methods and Applications, Vol.127, pp.157-181
Identifiers: 9945454909311
Academic Unit: Institut Montpelliérain Alexander Grothendieck - IMAG
Language: English
Resource Type: Journal article
Local Fields: hal-02072887