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 zbig convexificationy of the graph of the multifunction and the zminimax techniqueyfor proving the existence of linear functionals satis...
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| Autor Corporativo: | |
| Formato: | Libro electrónico |
| Idioma: | Inglés |
| Publicado: |
Dordrecht :
Springer Netherlands
2008.
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| Colección: | Lecture Notes in Mathematics ;
1693. Springer eBooks. |
| Acceso en línea: | Conectar con la versión electrónica |
| Ver en Universidad de Navarra: | https://innopac.unav.es/record=b32741832*spi |
| Sumario: | 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 zbig convexificationy of the graph of the multifunction and the zminimax techniqueyfor proving the existence of linear functionals satisfying certain conditions, the Fitzpatrick function is used. The journey begins with a generalization of the Hahn-Banach theorem uniting classical functional analysis, minimax theory, Lagrange multiplier theory and convex analysis and culminates in a survey of current results on monotone multifunctions on a Banach space. The first two chapters are aimed at students interested in the development of the basic theorems of functional analysis, which leads painlessly to the theory of minimax theorems, convex Lagrange multiplier theory and convex analysis. The remaining five chapters are useful for those who wish to learn about the current research on monotone multifunctions on (possibly non reflexive) Banach space. |
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| Descripción Física: | XIV, 248 p. |
| Formato: | Forma de acceso: World Wide Web. |
| ISBN: | 9781402069192 |
