E-Book, Englisch, 248 Seiten, eBook
Reihe: Lecture Notes in Mathematics
Simons From Hahn-Banach to Monotonicity
2. Auflage 2008
ISBN: 978-1-4020-6919-2
Verlag: Springer Netherland
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, 248 Seiten, eBook
Reihe: Lecture Notes in Mathematics
ISBN: 978-1-4020-6919-2
Verlag: Springer Netherland
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
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.
