Khan, Akhtar A.
Set-valued optimization : an introduction with applications [Documento eletrónico] / Akhtar A. Khan, Christiane Tammer, Constantin Zălinescu. - Berlin, Heidelberg : Springer , 2015 . - XXII, 765 p. : il.. - (Vector Optimization) 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.
Clicar aqui para aceder a um recurso externo
ISBN 978-3-642-54265-7
Otimização matemática
Tomada de decisão
Teoria dos jogos
Investigação operacional
LCC QA402.5
Set-valued optimization : an introduction with applications [Documento eletrónico] / Akhtar A. Khan, Christiane Tammer, Constantin Zălinescu. - Berlin, Heidelberg : Springer , 2015 . - XXII, 765 p. : il.. - (Vector Optimization) 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.
Clicar aqui para aceder a um recurso externo
ISBN 978-3-642-54265-7
Otimização matemática
Tomada de decisão
Teoria dos jogos
Investigação operacional
LCC QA402.5
