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 line...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Simons, Stephen (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Dordrecht : Springer Netherlands : Imprint: Springer, 2008.
Edición:2nd ed. 2008.
Colección:Lecture Notes in Mathematics,
Temas:
Functional analysis.
Mathematical optimization.
Calculus of variations.
Operator theory.
Functional Analysis.
Calculus of Variations and Optimization.
Operator Theory.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

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