Vector Optimization

Theory, Applications, and Extensions

Johannes Jahn

465 pages, parution le 11/02/2004

Ajouter à une liste

Indisponible

Résumé

This book presents fundamentals and important results of vector optimization in a general setting. The theory developed includes scalarization, existence theorems, a generalized Lagrange multiplier rule and duality results. Applications to vector approximation, cooperative game theory and multiobjective optimization are described. The theory is extended to set optimization with particular emphasis on contingent epiderivatives, subgradients and optimality conditions. Background material of convex analysis being necessary is concisely summarized at the beginning.

Written for:
Researchers, graduate students

Sommaire

Preface
I Convex Analysis
- Linear Spaces
- Notes
- Maps on Linear Spaces
- Notes
- Some Fundamental Theorems
II Theory of Vector Optimization
- Optimality Notions
- Notes
- Scalarization
- Existence Theorems
- Notes
- Generalized Lagrange Multiplier Rule
- Duality
III Mathematical Applications
- Vector Approximation
- Cooperative n Player Differential Games
IV Engineering Applications
- Theoretical Basics of Multiobjective Optimization
- Numerical Methods
- Multiobjective Design Problems
V Extensions to Set Optimization
- Basic Concepts and Results of Set Optimization
- Contingent Epiderivatives
- Subdifferential
- Optimality Conditions
- Bibliography
- List of Symbols
- Index

Voir tout

Replier

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Johannes Jahn
Parution	11/02/2004
Nb. de pages	465
Format	16 x 24
Couverture	Broché
Poids	810g
Intérieur	Noir et Blanc
EAN13	9783540206156