Screen LibraryVector optimization and monotone operators via convex duality : recent advances /
This book investigates several duality approaches for vector optimization problems, while also comparing them. Special attention is paid to duality for linear vector optimization problems, for which a vector dual that avoids the shortcomings of the classical ones is proposed. Moreover, the book addr...
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| Main Authors: | |
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| Published: |
Springer,
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| Publisher Address: | Cham : |
| Publication Dates: | [2015] |
| Literature type: | Book |
| Language: | English |
| Series: |
Vector optimization,
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| Subjects: | |
| Summary: |
This book investigates several duality approaches for vector optimization problems, while also comparing them. Special attention is paid to duality for linear vector optimization problems, for which a vector dual that avoids the shortcomings of the classical ones is proposed. Moreover, the book addresses different efficiency concepts for vector optimization problems. Among the problems that appear when the framework is generalized by considering set-valued functions, an increasing interest is generated by those involving monotone operators, especially now that new methods for approaching the |
| Carrier Form: | xvii, 269 pages ; 24 cm. |
| Bibliography: | Includes bibliographical references (pages 257-266) and index. |
| ISBN: |
9783319088990 (hardback) : 9783319089003 (eBook) |
| Index Number: | QA402 |
| CLC: | O224 |
| Call Number: | O224/G732 |
| Contents: | Introduction and preliminaries -- Duality for scalar optimization problems -- Minimality concepts for sets -- Vector duality via scalarization for vector optimization problems -- General Wolfe and Mond-Weir duality -- Vector duality for linear and semidefinite vector optimization problems -- Monotone operators approached via convex Analysis. |