Stephen Simons
Springer Netherlands
2e druk, 2008
9781402069185
From Hahn-Banach to Monotonicity
Specificaties
Paperback, 248 blz.
|
Engels
Springer Netherlands |
2e druk, 2008
ISBN13: 9781402069185
Rubricering
Onderdeel van serie
Lecture Notes in Mathematics
Verwachte levertijd ongeveer 9 werkdagen
Samenvatting
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.
Specificaties
ISBN13:9781402069185
Taal:Engels
Bindwijze:paperback
Aantal pagina's:248
Uitgever:Springer Netherlands
Druk:2
Inhoudsopgave
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.