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Set-valued Optimization An Introduction with Applications /
Set-valued optimization is a vibrant and expanding branch of mathematics that deals with optimization problems where the objective map and/or the constraints maps are set-valued maps acting between certain spaces. Since set-valued maps subsumes single valued maps, set-valued optimization provides an...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2015.
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| Edición: | 1st ed. 2015. |
| Colección: | Vector Optimization,
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| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-3-642-54265-7 | ||
| 003 | DE-He213 | ||
| 005 | 20220113114419.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 141020s2015 gw | s |||| 0|eng d | ||
| 020 | |a 9783642542657 |9 978-3-642-54265-7 | ||
| 024 | 7 | |a 10.1007/978-3-642-54265-7 |2 doi | |
| 050 | 4 | |a QA402.5-402.6 | |
| 072 | 7 | |a PBU |2 bicssc | |
| 072 | 7 | |a MAT003000 |2 bisacsh | |
| 072 | 7 | |a PBU |2 thema | |
| 082 | 0 | 4 | |a 519.6 |2 23 |
| 100 | 1 | |a Khan, Akhtar A. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Set-valued Optimization |h [electronic resource] : |b An Introduction with Applications / |c by Akhtar A. Khan, Christiane Tammer, Constantin Zălinescu. |
| 250 | |a 1st ed. 2015. | ||
| 264 | 1 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg : |b Imprint: Springer, |c 2015. | |
| 300 | |a XXII, 765 p. 29 illus. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Vector Optimization, |x 1867-898X | |
| 505 | 0 | |a Introduction -- Order Relations and Ordering Cones -- Continuity and Differentiability -- Tangent Cones and Tangent Sets -- Nonconvex Separation Theorems -- Hahn-Banach Type Theorems -- Hahn-Banach Type Theorems -- Conjugates and Subdifferentials -- Duality -- Existence Results for Minimal Points -- Ekeland Variational Principle -- Derivatives and Epiderivatives of Set-valued Maps -- Optimality Conditions in Set-valued Optimization -- Sensitivity Analysis in Set-valued Optimization and Vector Variational Inequalities -- Numerical Methods for Solving Set-valued Optimization Problems -- Applications. | |
| 520 | |a Set-valued optimization is a vibrant and expanding branch of mathematics that deals with optimization problems where the objective map and/or the constraints maps are set-valued maps acting between certain spaces. Since set-valued maps subsumes single valued maps, set-valued optimization provides an important extension and unification of the scalar as well as the vector optimization problems. Therefore this relatively new discipline has justifiably attracted a great deal of attention in recent years. This book presents, in a unified framework, basic properties on ordering relations, solution concepts for set-valued optimization problems, a detailed description of convex set-valued maps, most recent developments in separation theorems, scalarization techniques, variational principles, tangent cones of first and higher order, sub-differential of set-valued maps, generalized derivatives of set-valued maps, sensitivity analysis, optimality conditions, duality, and applications in economics among other things. | ||
| 650 | 0 | |a Mathematical optimization. | |
| 650 | 0 | |a Operations research. | |
| 650 | 0 | |a Management science. | |
| 650 | 0 | |a Game theory. | |
| 650 | 1 | 4 | |a Optimization. |
| 650 | 2 | 4 | |a Operations Research and Decision Theory. |
| 650 | 2 | 4 | |a Continuous Optimization. |
| 650 | 2 | 4 | |a Operations Research, Management Science . |
| 650 | 2 | 4 | |a Game Theory. |
| 700 | 1 | |a Tammer, Christiane. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Zălinescu, Constantin. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783642542664 |
| 776 | 0 | 8 | |i Printed edition: |z 9783642542640 |
| 776 | 0 | 8 | |i Printed edition: |z 9783662510360 |
| 830 | 0 | |a Vector Optimization, |x 1867-898X | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-642-54265-7 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||