TY - BOOK
AU - Bot,Radu Ioan
AU - Grad,Sorin-Mihai
AU - Wanka,Gert
ED - SpringerLink (Online service)
TI - Duality in Vector Optimization
T2 - Vector Optimization,
SN - 9783642028861
AV - TA342-343
U1 - 003.3 23
PY - 2009///
CY - Berlin, Heidelberg
PB - Springer Berlin Heidelberg
KW - Mathematics
KW - Operations research
KW - Decision making
KW - Computer science
KW - Mathematical models
KW - Management science
KW - Mathematical Modeling and Industrial Mathematics
KW - Operations Research, Management Science
KW - Operation Research/Decision Theory
KW - Discrete Mathematics in Computer Science
N1 - 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
N2 - 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
UR - http://dx.doi.org/10.1007/978-3-642-02886-1
ER -