TY  - BOOK
AU  - Grad,Sorin-Mihai
ED  - SpringerLink (Online service)
TI  - Vector Optimization and Monotone Operators via Convex Duality: Recent Advances 
T2  - Vector Optimization,
SN  - 9783319089003
AV  - HD30.23 
U1  - 658.40301 23
PY  - 2015///
CY  - Cham
PB  - Springer International Publishing, Imprint: Springer
KW  - Economics
KW  - Mathematical optimization
KW  - Operations research
KW  - Economics/Management Science
KW  - Operation Research/Decision Theory
KW  - Optimization
KW  - Continuous Optimization
N1  - Introduction and preliminaries -- Duality for scalar optimization problems -- Minimality concepts for sets -- Vector duality via scalarization for vector optimization problems -- General Wolfe and Mond-Weir duality -- Vector duality for linear and semidefinite vector optimization problems -- Monotone operators approached via convex Analysis
N2  - This book investigates several duality approaches for vector optimization problems, while also comparing them. Special attention is paid to duality for linear vector optimization problems, for which a vector dual that avoids the shortcomings of the classical ones is proposed. Moreover, the book addresses different efficiency concepts for vector optimization problems. Among the problems that appear when the framework is generalized by considering set-valued functions, an increasing interest is generated by those involving monotone operators, especially now that new methods for approaching them by means of convex analysis have been developed. Following this path, the book provides several results on different properties of sums of monotone operators
UR  - http://dx.doi.org/10.1007/978-3-319-08900-3
ER  -