Duality in Vector Optimization
(Sprache: Englisch)
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.
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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.
Klappentext zu „Duality in Vector Optimization “
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.
Inhaltsverzeichnis zu „Duality in Vector Optimization “
Preliminaries on convex analysis and vector optimization.- Conjugate duality in scalar optimization.- Conjugate vector duality via scalarization.- Conjugate duality for vector optimization problems with finite dimensional image spaces.- Wolfe and Mond-Weir duality concepts.- Duality for set-valued optimization problems based on vector conjugacy.
Bibliographische Angaben
- Autoren: Radu Ioan Bot , Sorin-Mihai Grad , Gert Wanka
- 2009, 400 Seiten, Maße: 16,4 x 24,2 cm, Gebunden, Englisch
- Verlag: Springer
- ISBN-10: 3642028853
- ISBN-13: 9783642028854
Sprache:
Englisch
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