<p><p>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 mult
Vector Optimization: Theory, Applications, and Extensions
β Scribed by Professor Dr. Johannes Jahn (auth.)
- Publisher
- Springer Berlin Heidelberg
- Year
- 2004
- Tongue
- English
- Leaves
- 470
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Table of Contents
Front Matter....Pages i-xiii
Front Matter....Pages 1-2
Linear Spaces....Pages 3-36
Maps on Linear Spaces....Pages 37-59
Some Fundamental Theorems....Pages 61-100
Front Matter....Pages 101-102
Optimality Notions....Pages 103-114
Scalarization....Pages 115-148
Existence Theorems....Pages 149-160
Generalized Lagrange Multiplier Rule....Pages 161-188
Duality....Pages 189-207
Front Matter....Pages 209-210
Vector Approximation....Pages 211-242
Cooperative n Player Differential Games....Pages 243-278
Front Matter....Pages 279-280
Theoretical Basics of Multiobjective Optimization....Pages 281-312
Numerical Methods....Pages 313-340
Multiobjective Design Problems....Pages 341-367
Front Matter....Pages 369-370
Basic Concepts and Results of Set Optimization....Pages 371-378
Contingent Epiderivatives....Pages 379-395
Subdifferential....Pages 397-407
Optimality Conditions....Pages 409-433
Back Matter....Pages 435-465
β¦ Subjects
Operation Research/Decision Theory; Optimization; Operations Research, Management Science
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