Asymptotic Cones and Functions in Optimization and Variational Inequalities:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
2003
|
| Schriftenreihe: | Springer Monographs in Mathematics
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Nonlinear applied analysis and in particular the related ?elds of continuous optimization and variational inequality problems have gone through major developments over the last three decades and have reached maturity. A pivotal role in these developments has been played by convex analysis, a rich area covering a broad range of problems in mathematical sciences and its applications. Separation of convex sets and the Legendre–Fenchel conjugate transforms are fundamental notions that have laid the ground for these fruitful developments. Two other fundamental notions that have contributed to making convex analysis a powerful analytical tool and that haveoftenbeenhiddeninthesedevelopmentsarethenotionsofasymptotic sets and functions. The purpose of this book is to provide a systematic and comprehensive account of asymptotic sets and functions, from which a broad and u- ful theory emerges in the areas of optimization and variational inequa- ties. There is a variety of motivations that led mathematicians to study questions revolving around attaintment of the in?mum in a minimization problem and its stability, duality and minmax theorems, convexi?cation of sets and functions, and maximal monotone maps. In all these topics we are faced with the central problem of handling unbounded situations |
| Beschreibung: | 1 Online-Ressource (XII, 249 p) |
| ISBN: | 9780387225906 9780387955209 |
| ISSN: | 1439-7382 |
| DOI: | 10.1007/b97594 |
Internformat
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Datensatz im Suchindex
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| discipline | Mathematik |
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| id | DE-604.BV042419037 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:04Z |
| institution | BVB |
| isbn | 9780387225906 9780387955209 |
| issn | 1439-7382 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027854454 |
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| publishDate | 2003 |
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| publisher | Springer New York |
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| series2 | Springer Monographs in Mathematics |
| spelling | Auslender, Alfred Verfasser aut Asymptotic Cones and Functions in Optimization and Variational Inequalities by Alfred Auslender, Marc Teboulle New York, NY Springer New York 2003 1 Online-Ressource (XII, 249 p) txt rdacontent c rdamedia cr rdacarrier Springer Monographs in Mathematics 1439-7382 Nonlinear applied analysis and in particular the related ?elds of continuous optimization and variational inequality problems have gone through major developments over the last three decades and have reached maturity. A pivotal role in these developments has been played by convex analysis, a rich area covering a broad range of problems in mathematical sciences and its applications. Separation of convex sets and the Legendre–Fenchel conjugate transforms are fundamental notions that have laid the ground for these fruitful developments. Two other fundamental notions that have contributed to making convex analysis a powerful analytical tool and that haveoftenbeenhiddeninthesedevelopmentsarethenotionsofasymptotic sets and functions. The purpose of this book is to provide a systematic and comprehensive account of asymptotic sets and functions, from which a broad and u- ful theory emerges in the areas of optimization and variational inequa- ties. There is a variety of motivations that led mathematicians to study questions revolving around attaintment of the in?mum in a minimization problem and its stability, duality and minmax theorems, convexi?cation of sets and functions, and maximal monotone maps. In all these topics we are faced with the central problem of handling unbounded situations Mathematics Mathematical optimization Operations research Calculus of Variations and Optimal Control; Optimization Optimization Operations Research, Mathematical Programming Operations Research/Decision Theory Mathematik Variationsungleichung (DE-588)4187420-1 gnd rswk-swf Asymptotik (DE-588)4126634-1 gnd rswk-swf Nichtlineare Optimierung (DE-588)4128192-5 gnd rswk-swf Variationsungleichung (DE-588)4187420-1 s Asymptotik (DE-588)4126634-1 s 1\p DE-604 Nichtlineare Optimierung (DE-588)4128192-5 s 2\p DE-604 Teboulle, Marc Sonstige oth https://doi.org/10.1007/b97594 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Auslender, Alfred Asymptotic Cones and Functions in Optimization and Variational Inequalities Mathematics Mathematical optimization Operations research Calculus of Variations and Optimal Control; Optimization Optimization Operations Research, Mathematical Programming Operations Research/Decision Theory Mathematik Variationsungleichung (DE-588)4187420-1 gnd Asymptotik (DE-588)4126634-1 gnd Nichtlineare Optimierung (DE-588)4128192-5 gnd |
| subject_GND | (DE-588)4187420-1 (DE-588)4126634-1 (DE-588)4128192-5 |
| title | Asymptotic Cones and Functions in Optimization and Variational Inequalities |
| title_auth | Asymptotic Cones and Functions in Optimization and Variational Inequalities |
| title_exact_search | Asymptotic Cones and Functions in Optimization and Variational Inequalities |
| title_full | Asymptotic Cones and Functions in Optimization and Variational Inequalities by Alfred Auslender, Marc Teboulle |
| title_fullStr | Asymptotic Cones and Functions in Optimization and Variational Inequalities by Alfred Auslender, Marc Teboulle |
| title_full_unstemmed | Asymptotic Cones and Functions in Optimization and Variational Inequalities by Alfred Auslender, Marc Teboulle |
| title_short | Asymptotic Cones and Functions in Optimization and Variational Inequalities |
| title_sort | asymptotic cones and functions in optimization and variational inequalities |
| topic | Mathematics Mathematical optimization Operations research Calculus of Variations and Optimal Control; Optimization Optimization Operations Research, Mathematical Programming Operations Research/Decision Theory Mathematik Variationsungleichung (DE-588)4187420-1 gnd Asymptotik (DE-588)4126634-1 gnd Nichtlineare Optimierung (DE-588)4128192-5 gnd |
| topic_facet | Mathematics Mathematical optimization Operations research Calculus of Variations and Optimal Control; Optimization Optimization Operations Research, Mathematical Programming Operations Research/Decision Theory Mathematik Variationsungleichung Asymptotik Nichtlineare Optimierung |
| url | https://doi.org/10.1007/b97594 |
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