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 satisfyi...
সংরক্ষণ করুন:
| প্রধান লেখক: | |
|---|---|
| বিন্যাস: | Livre numérique |
| ভাষা: | Anglais |
| প্রকাশিত: |
Dordrecht :
Springer Netherlands
[20..].
Cham : Springer Nature |
| সংস্করন: | Version électronique de la seconde édition augmentée. |
| মালা: | Lecture Notes in Mathematics
1693 |
| বিষয়গুলি: | |
| অনলাইন ব্যবহার করুন: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| টীকা: |
L'impression du document génère 263 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • From Hahn-Banach to monotonicity, Stephen Simons, 2nd, expanded edition, 2008, Berlin, Springer, 1 vol. (XIV-244 p.), Lecture notes in mathematics, 978-1-402-06918-5 • From Hahn-Banach to Monotonicity, Texte imprimé, 9789048116454 • From Hahn-Banach to monotonicity, Stephen Simons, 2nd, expanded edition, 2008, Berlin, Springer, 1 vol. (XIV-244 p.), Lecture notes in mathematics, 978-1-402-06918-5 |
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| 009 | PPN123741343 | ||
| 020 | |a 9781402069192 | ||
| 020 | |a 9781402069192 | ||
| 041 | 0 | |a eng | |
| 082 | |a 515.7 | ||
| 082 | |a 510 | ||
| 084 | |a 47N10. 2010 | ||
| 084 | |a 46A22. 2010 | ||
| 084 | |a 49J52. 2010 | ||
| 084 | |a 47H05. 2010 | ||
| 100 | 1 | |a Simons, Stephen, |d 1938-...., |c mathématicien. | |
| 245 | 1 | 0 | |a From Hahn-Banach to Monotonicity |c Stephen Simons. |
| 250 | |a Version électronique de la seconde édition augmentée. | ||
| 260 | |a Dordrecht : |b Springer Netherlands. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 1 | |a Lecture Notes in Mathematics |v 1693 |x 1617-9692 | |
| 500 | |a L'impression du document génère 263 p. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a 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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 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 | ||
| 650 | |a Fonctions monotones | ||
| 650 | |a Principe de dualité (mathématiques) | ||
| 650 | |a Banach, Espaces de | ||
| 650 | |a Opérateurs monotones | ||
| 650 | |a Mathématiques | ||
| 650 | |a Analyse fonctionnelle | ||
| 650 | |a Théorie des opérateurs | ||
| 650 | |a Calcul des variations | ||
| 775 | 0 | |0 155217674 |t Minimax and Monotonicity |f Stephen Simons |d 20XX |c Berlin [etc.] |n Springer |s Lecture notes in mathematics |z 978-3-540-68931-7 | |
| 776 | 0 | |0 122588908 |t From Hahn-Banach to monotonicity |f Stephen Simons |e 2nd, expanded edition |d 2008 |c Berlin |n Springer |p 1 vol. (XIV-244 p.) |s Lecture notes in mathematics |z 978-1-402-06918-5 | |
| 776 | 0 | |t From Hahn-Banach to Monotonicity |b Texte imprimé |z 9789048116454 | |
| 776 | 0 | |0 122588908 |t From Hahn-Banach to monotonicity |f Stephen Simons |e 2nd, expanded edition |d 2008 |c Berlin |n Springer |p 1 vol. (XIV-244 p.) |s Lecture notes in mathematics |z 978-1-402-06918-5 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-1-4020-6919-2 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-C52G87TM-D |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:74786313X |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/978-1-4020-6919-2 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:750880651 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/978-1-4020-6919-2 |z Accès INSA CVL | |
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