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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 |
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| Autores principales: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin :
Springer,
[2015]
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| Colección: | Vector optimization.
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| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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. |
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| Descripción Física: | 1 online resource (xxii, 765 pages) : illustrations |
| Bibliografía: | Includes bibliographical references and index. |
| ISBN: | 9783642542657 3642542654 3642542646 9783642542640 9783642542664 3642542662 9783662510360 3662510367 |
| ISSN: | 1867-8971 |