From Hahn-Banach to Monotonicity
(Sprache: Englisch)
This new edition of LNM 1693 aims 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...
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This new edition of LNM 1693 aims 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 satisfying certain conditions, the Fitzpatrick function is used. The journey begins with the Hahn-Banach theorem and culminates in a survey of current results on monotone multifunctions on a Banach space.
Klappentext zu „From Hahn-Banach to Monotonicity “
This new edition of LNM 1693 aims 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 satisfying certain conditions, the Fitzpatrick function is used. The journey begins with the Hahn-Banach theorem and culminates in a survey of current results on monotone multifunctions on a Banach space.
Inhaltsverzeichnis zu „From Hahn-Banach to Monotonicity “
- 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
Bibliographische Angaben
- Autor: Stephen Simons
- 2008, 2nd, exp. ed., 248 Seiten, Maße: 15,7 x 23,5 cm, Kartoniert (TB), Englisch
- Verlag: Springer Netherlands
- ISBN-10: 1402069189
- ISBN-13: 9781402069185
Sprache:
Englisch
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