Akhtar A. Khan & Christiane Tammer 
Set-valued Optimization [PDF ebook] 
An Introduction with Applications

Stöd

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 economicsamong other things.

€96.29
Betalningsmetoder

Innehållsförteckning

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.

Köp den här e-boken och få 1 till GRATIS!
Språk Engelska ● Formatera PDF ● Sidor 765 ● ISBN 9783642542657 ● Filstorlek 9.0 MB ● Utgivare Springer Berlin ● Stad Heidelberg ● Land DE ● Publicerad 2014 ● Nedladdningsbara 24 månader ● Valuta EUR ● ID 5239299 ● Kopieringsskydd Social DRM

Fler e-böcker från samma författare (r) / Redaktör

1 351 E-böcker i denna kategori