Maximal Monotone Operators, Convex Functions and a Special Family of Enlargements

By Regina Sandra Burachik, Benar Fux Svaiter. 2002

133 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/c33a1e322ca9f1b77ec7a0f9f3bd33bbed4bec61

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Jonathan Michael Borwein
2. Heinz H. BauschkeD
3. Hristo S. Sendov
4. A. McLaren
5. Xianfu Wang
6. Simeon Reich
7. Benar Fux Svaiter
8. J. Vanderwerff

In Computational Theory and Mathematics

1. Jonathan Michael Borwein
2. Simeon Reich
3. Heinz H. Bauschke
4. J. Vanderwerff
5. Xianfu Wang
6. Heinz H. BauschkeD
7. Hristo S. Sendov
8. A. McLaren

In Geometry and Topology

1. Simeon Reich
2. Heinz H. Bauschke
3. Jonathan Michael Borwein
4. J. Vanderwerff
5. Xianfu Wang
6. Heinz H. BauschkeD
7. Hristo S. Sendov
8. A. McLaren

Citations in the corpus

• MAXIMAL MONOTONICITY, CONJUGATION AND THE DUALITY PRODUCT (2003, background): “2000 Mathematics Subject Classification: 47H05 keywords: convex functions, maximal monotone operators, duality product, conjugation”
• Fitzpatrick functions: inequalities, examples, and remarks on a problem by S. Fitzpatrick (2005, methodology): “In 1988, Simon Fitzpatrick (see [6, Definition 3.1]) investigated the following function which has been utilized recently in [ 3 ], [8], [9], [17], and [16].”
• Fitzpatrick functions, cyclic monotonicity and Rockafellar's antiderivative (2007, background): “In [ 17 ], Burachik and Svaiter established the following new characterization of”
• Monotone Operators Representable by l.s.c. Convex Functions (2005, background): “These functions where defined and studied in [5] for A maximal monotone.”
• Convex Functions: Constructions, Characterizations and Counterexamples (2010, background): “On being rediscovered and exploited by [137, 343, 344] and then by many others the field was rejuvenated.”