Monotone Operators Representable by l.s.c. Convex Functions
By Juan Enrique Martínez-Legaz, Benar Fux Svaiter. 2005
121 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Management Science and Operations Research
View Paper: https://www.semanticscholar.org/paper/624485a061f854a69d664e5f1fb7691bbbee6706
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In Applied Mathematics
- Xianfu Wang
- Jonathan Michael Borwein
- Heinz H. Bauschke
- Constantin Zᾰlinescu
- Jean-Paul Penot
- Simeon Reich
- Heinz H. BauschkeD
- Hristo S. Sendov
In Computational Theory and Mathematics
- Jonathan Michael Borwein
- Heinz H. Bauschke
- Simeon Reich
- Xianfu Wang
- Constantin Zᾰlinescu
- Jean-Paul Penot
- Heinz H. BauschkeD
- Hristo S. Sendov
In Management Science and Operations Research
Citations in the corpus
- The kernel average for two convex functions and its application to the extension and representation of monotone operators (2009, unknown): “The Fitzpatrick function [10] associated with A has recently turned out to be a very effective tool for analyzing A; see, e.g., [1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12 , 13, 14, 15, 16, 17, 21, 22, 23].”
- Fitzpatrick functions: inequalities, examples, and remarks on a problem by S. Fitzpatrick (2005, methodology): “We wish to thank Benar Svaiter for sending us [ 8 ] and two anonymous referees for their careful reading and insightful comments.”
- Some problems about the representation of monotone operators by convex functions (2005, background): “[11] Representation of monotone operators by convex functions 11”
- Fitzpatrick functions, cyclic monotonicity and Rockafellar's antiderivative (2007, background): “Fitzpatrick functions play also a key role in various works on monotone operators [12, 16, 17, 18, 28, 29, 34, 44].”