Vector Optimization : Set-valued and Variational Analysis

Language: English

Published by Springer, 2005

3540212892 / 9783540212898

Series: Book 13 of 126 - Lecture Notes in Economics and Mathematical Systems

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Druck auf Anfrage Neuware - Printed after ordering - 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).

Seller Inventory # 9783540212898

Title
Vector Optimization : Set-valued and Variational Analysis
Author
Xiaogi Yang
Publisher
Springer
Publication year
2005
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3540212892
ISBN 13
9783540212898
Item weight
483 grams
Dimensions
233x155x18 mm
Series
Book 13 of 126: Lecture Notes in Economics and Mathematical Systems

AHA-BUCH GmbH

Einbeck, Germany

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