Vector optimization : theory, applications, and extensions /
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 multiobjec...
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin ; New York :
Springer,
[2004]
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| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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 optimizationare 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. |
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| Physical Description: | 1 online resource (xiii, 465 pages) : illustrations. |
| Bibliography: | Includes bibliographical references (pages 435-458) and index. |
| ISBN: | 9783540248286 (electronic bk.) 3540248285 (electronic bk.) |