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Computational and Analytical Mathematics pp 521–553Cite as

Primal Lower Nice Functions and Their Moreau Envelopes

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Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 50))

Abstract

This paper studies two equivalent definitions of primal lower nice functions and some subdifferential characterizations of such functions. Various regularity properties of the associated Moreau envelopes and proximal mappings are also provided.

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Author information

Authors and Affiliations

  1. Université de Montpellier II, Place Eugène Bataillon, Case Courrier 51, 34095, Montpellier, France

    Marc Mazade & Lionel Thibault

Authors
  1. Marc Mazade
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  2. Lionel Thibault
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Corresponding author

Correspondence to Marc Mazade .

Editor information

Editors and Affiliations

  1. Lawrence Berkeley National Laboratory, Berkeley, USA

    David H. Bailey

  2. Mathematics, University of British Columbia, Kelowna, British Columbia, Canada

    Heinz H. Bauschke

  3. Dept. Mathematics & Statistics, Simon Fraser University, Burnaby, British Columbia, Canada

    Peter Borwein

  4. Mathematics, University of Florida, Gainesville, Florida, USA

    Frank Garvan

  5. Mathematics and Computer Science, University of Limoges, Limoges, France

    Michel Théra

  6. Mathematics and Computer Science Department, La Sierra University, Riverside, California, USA

    Jon D. Vanderwerff

  7. Dept. Combinatorics & Optimization, University of Waterloo Faculty of Mathematics, Waterloo, Ontario, Canada

    Henry Wolkowicz

Additional information

Dedicated to Jonathan Borwein on the occasion of his 60th birthday

Communicated By Heinz H. Bauschke.

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Mazade, M., Thibault, L. (2013). Primal Lower Nice Functions and Their Moreau Envelopes. In: Bailey, D., et al. Computational and Analytical Mathematics. Springer Proceedings in Mathematics & Statistics, vol 50. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-7621-4_25

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