From Hahn-Banach to Monotonicity
In this new edition of LNM 1693 the essential idea is to reduce questions on monotone multifunctions to questions on convex functions. However, rather than using a “big convexification” of the graph of the multifunction and the “minimax technique”for proving the existence of linear functionals satis...
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| Language: | English |
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Dordrecht :
Springer Netherlands : Imprint: Springer,
2008.
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| Edition: | 2nd ed. 2008. |
| Series: | Lecture Notes in Mathematics,
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| Online Access: | https://doi.org/10.1007/978-1-4020-6919-2 |
Table of Contents:
- The Hahn-Banach-Lagrange theorem and some consequences
- Fenchel duality
- Multifunctions, SSD spaces, monotonicity and Fitzpatrick functions
- Monotone multifunctions on general Banach spaces
- Monotone multifunctions on reflexive Banach spaces
- Special maximally monotone multifunctions
- The sum problem for general Banach spaces
- Open problems
- Glossary of classes of multifunctions
- A selection of results.