Proceedings of the Centre for Mathematics and its Applications

Representing monotone operators by convex functions

Simon Fitzpatrick

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Abstract

Vl e transform the representation of monotone operators due to Krauss to get a representation of monotone operators in terms of the subdifferentials of convex functions on the product of the space and its duat The convex functions representing maximal monotone operators satisfY a minimality condition.

Article information

Source
Workshop/Miniconference on Functional Analysis and Optimization. Simon Fitzpatrick and John Giles, eds. Proceedings of the Centre for Mathematical Analysis, v. 20. (Canberra AUS: Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University, 1988), 59-65

Dates
First available in Project Euclid: 18 November 2014

Permanent link to this document
https://projecteuclid.org/ euclid.pcma/1416340103

Mathematical Reviews number (MathSciNet)
MR1009594

Zentralblatt MATH identifier
0669.47029

Citation

Fitzpatrick, Simon. Representing monotone operators by convex functions. Workshop/Miniconference on Functional Analysis and Optimization, 59--65, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University, Canberra AUS, 1988. https://projecteuclid.org/euclid.pcma/1416340103


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