Duality in Vector Optimization
Bot, Radu Ioan; Grad, Sorin-mihai; Wanka, Gert
ISBN 10: 3642269362 ISBN 13: 9783642269363
Published by Springer, 2012
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Synopsis:
This book presents fundamentals and comprehensive results regarding duality for scalar, vector and set-valued optimization problems in a general setting. One chapter is exclusively consecrated to the scalar and vector Wolfe and Mond-Weir duality schemes.
From the Back Cover:
This book presents fundamentals and comprehensive results regarding duality for scalar, vector and set-valued optimization problems in a general setting. After a preliminary chapter dedicated to convex analysis and minimality notions of sets with respect to partial orderings induced by convex cones a chapter on scalar conjugate duality follows. Then investigations on vector duality based on scalar conjugacy are made. Weak, strong and converse duality statements are delivered and connections to classical results from the literature are emphasized. One chapter is exclusively consecrated to the scalar and vector Wolfe and Mond-Weir duality schemes. The monograph is closed with extensive considerations concerning conjugate duality for set-valued optimization problems.
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Bibliographic Details
Title: Duality in Vector Optimization
Publisher: Springer
Publication Date: 2012
Binding: Soft cover
Condition: As New