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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Bibliographic Details
Main Author: Simons, Stephen
Format: eBook
Published: Dordrecht Springer Netherlands 2008, 2008
Edition:2nd ed. 2008
Series:Lecture Notes in Mathematics
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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