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A Brøndsted–Rockafellar Theorem for Diagonal Subdifferential Operators

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Computational and Analytical Mathematics

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

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Abstract

In this note we give a Brøndsted–Rockafellar Theorem for diagonal subdifferential operators in Banach spaces. To this end we apply an Ekeland-type variational principle for monotone bifunctions.

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References

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Acknowledgements

Research partially supported by DFG (German Research Foundation), project BO 2516/4-1.

Author information

Authors and Affiliations

  1. Department of Mathematics, Chemnitz University of Technology, D-09107, Chemnitz, Germany

    Radu Ioan Boţ & Ernö Robert Csetnek

Authors
  1. Radu Ioan Boţ
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  2. Ernö Robert Csetnek
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Corresponding author

Correspondence to Radu Ioan Boţ .

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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Boţ, R.I., Csetnek, E.R. (2013). A Brøndsted–Rockafellar Theorem for Diagonal Subdifferential Operators. 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_6

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