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Vector Optimization Book

Vector Optimization
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Vector Optimization, Fundamentals and important results of vector optimization in a general setting are presented in this book. The theory developed includes scalarization, existence theorems, a generalized Lagrange multiplier rule and duality results. Applications to vector , Vector Optimization
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  • Vector Optimization
  • Written by author Johannes Jahn
  • Published by Springer-Verlag New York, LLC, 3/28/2011
  • Fundamentals and important results of vector optimization in a general setting are presented in this book. The theory developed includes scalarization, existence theorems, a generalized Lagrange multiplier rule and duality results. Applications to vector
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Book Categories

Authors

Preface
I Convex Analysis 1
1 Linear Spaces 3
2 Maps on Linear Spaces 37
3 Some Fundamental Theorems 61
II Theory of Vector Optimization 101
4 Optimality Notions 103
5 Scalarization 115
6 Existence Theorems 149
7 Generalized Lagrange Multiplier Rule 161
8 Duality 189
III Mathematical Applications 209
9 Vector Approximation 211
10 Cooperative n Player Differential Games 243
IV Engineering Applications 279
11 Theoretical Basics of Multiobjective Optimization 281
12 Numerical Methods 313
13 Multiobjective Design Problems 341
V Extensions to Set Optimization 369
14 Basic Concepts and Results of Set Optimization 371
15 Contingent Epiderivatives 379
16 Subdifferential 397
17 Optimality Conditions 409
Bibliography 435
List of Symbols 459
Index 461


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Vector Optimization, Fundamentals and important results of vector optimization in a general setting are presented in this book. The theory developed includes scalarization, existence theorems, a generalized Lagrange multiplier rule and duality results. Applications to vector , Vector Optimization

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Vector Optimization, Fundamentals and important results of vector optimization in a general setting are presented in this book. The theory developed includes scalarization, existence theorems, a generalized Lagrange multiplier rule and duality results. Applications to vector , Vector Optimization

Vector Optimization

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Vector Optimization, Fundamentals and important results of vector optimization in a general setting are presented in this book. The theory developed includes scalarization, existence theorems, a generalized Lagrange multiplier rule and duality results. Applications to vector , Vector Optimization

Vector Optimization

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