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Beschreibung
Vector optimization model has found many important applications in decision making problems such as those in economics theory, management science, and engineering design (since the introduction of the Pareto optimal solu tion in 1896). Typical examples of vector optimization model include maxi mization/minimization of the objective pairs (time, cost), (benefit, cost), and (mean, variance) etc.… Many practical equilibrium problems can be formulated as variational in equality problems, rather than optimization problems, unless further assump tions are imposed. The vector variational inequality was introduced by Gi- nessi (1980). Extensive research on its relations with vector optimization, the existence of a solution and duality theory has been pursued. The fundamental idea of the Ekeland's variational principle is to assign an optimization problem a slightly perturbed one having a unique solution which is at the same time an approximate solution of the original problem. This principle has been an important tool for nonlinear analysis and optimization theory. Along with the development of vector optimization and set-valued optimization, the vector variational principle introduced by Nemeth (1980) has been an interesting topic in the last decade. Fan Ky's minimax theorems and minimax inequalities for real-valued func tions have played a key role in optimization theory, game theory and math ematical economics. An extension was proposed to vector payoffs was intro duced by Blackwell (1955). 106,99 €
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Technische Daten
Erscheinungsdatum
13.07.2005
Sprache
Englisch
EAN
9783540212898
Herausgeber
Springer Berlin
Serien- oder Bandtitel
Lecture Notes in Economics and Mathematical Systems
Sonderedition
Nein
Autor
Guang-ya Chen, Xuexiang Huang, Xiaogi Yang
Seitenanzahl
308
Einbandart
Broschiert
Buch Untertitel
Set-valued and Variational Analysis
Schlagwörter
Scalarization Method, Vector Equilibrium Problem, Vector Optimization, Vector Variational Inequality, Vector Variational Principle, analysis, operations research, optimization
Thema-Inhalt
KC - Wirtschaftswissenschaft
PBU - Optimierung
PB - Mathematik
KJT - Unternehmensforschung
KJMD - Management: Entscheidungstheorie
PBK - Mathematische Analysis, allgemein
Höhe
235 mm
Breite
15.5 cm
Transparenz & Sicherheit
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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