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.
Key words
- Brøndsted–Rockafellar Theorem
- Ekeland variational principle
- Diagonal subdifferential operator
- Monotone bifunction
- Subdifferential
Mathematics Subject Classifications (2010)
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Acknowledgements
Research partially supported by DFG (German Research Foundation), project BO 2516/4-1.
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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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DOI: https://doi.org/10.1007/978-1-4614-7621-4_6
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