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978-3-642-02886-1
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9783642028861
978-3-642-02886-1
10.1007/978-3-642-02886-1
doi
TA342-343
PBWH
bicssc
TBJ
bicssc
MAT003000
bisacsh
TEC009060
bisacsh
003.3
23
Bot, Radu Ioan.
author.
Duality in Vector Optimization
[electronic resource] /
by Radu Ioan Bot, Sorin-Mihai Grad, Gert Wanka.
Berlin, Heidelberg :
Springer Berlin Heidelberg,
2009.
XVI, 400 p.
online resource.
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Vector Optimization,
1867-8971
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.
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.
Mathematics.
Operations research.
Decision making.
Computer science
Mathematics.
Mathematical models.
Management science.
Mathematics.
Mathematical Modeling and Industrial Mathematics.
Operations Research, Management Science.
Operation Research/Decision Theory.
Discrete Mathematics in Computer Science.
Grad, Sorin-Mihai.
author.
Wanka, Gert.
author.
SpringerLink (Online service)
Springer eBooks
Printed edition:
9783642028854
Vector Optimization,
1867-8971
http://dx.doi.org/10.1007/978-3-642-02886-1
ZDB-2-SMA
372277
372277
0
0
0
0
EBook
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2018-01-15
2018-01-15
2018-01-15
EBOOK