Duality in Vector Optimization
Bot, Radu Ioan.
creator
author.
Grad, Sorin-Mihai.
author.
Wanka, Gert.
author.
SpringerLink (Online service)
text
gw
2009
monographic
eng
access
XVI, 400 p. online resource.
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.
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.
by Radu Ioan Bot, Sorin-Mihai Grad, Gert Wanka.
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
TA342-343
003.3
Springer eBooks
Vector Optimization
9783642028861
http://dx.doi.org/10.1007/978-3-642-02886-1
http://dx.doi.org/10.1007/978-3-642-02886-1
100715
20180115171713.0
978-3-642-02886-1