Set-valued Optimization: An Introduction with Applications (Vector Optimization)

Khan, Akhtar A.; Tammer, Christiane; Z?linescu, Constantin

ISBN 10: 3642542646 ISBN 13: 9783642542640

Editorial: Springer, 2014

Idioma: Ingl�s

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Descripci�n

In English.

N� de ref. del art�culo ria9783642542640_new

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Detalles bibliogr�ficos

T�tulo

Set-valued Optimization: An Introduction with Applications (Vector Optimization)

Editor

Springer

Fecha de publicaci�n

2014

Idioma

Ingl�s

ISBN 10

3642542646

ISBN 13

9783642542640

Encuadernaci�n

Encuadernaci�n de tapa dura

Estado

New

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Sinopsis

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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