TY  - GEN
N2  - Set-valued optimization is a vibrant and expanding branch of mathematics that deals with optimization problems where the objective map and/or the constraints maps are set-valued maps acting between certain spaces. Since set-valued maps subsumes single valued maps, set-valued optimization provides an important extension and unification of the scalar as well as the vector optimization problems. Therefore this relatively new discipline has justifiably attracted a great deal of attention in recent years. This book presents, in a unified framework, basic properties on ordering relations, solution concepts for set-valued optimization problems, a detailed description of convex set-valued maps, most recent developments in separation theorems, scalarization techniques, variational principles, tangent cones of first and higher order, sub-differential of set-valued maps, generalized derivatives of set-valued maps, sensitivity analysis, optimality conditions, duality, and applications in economics among other things.
DO  - 10.1007/978-3-642-54265-7
DO  - doi
AB  - Set-valued optimization is a vibrant and expanding branch of mathematics that deals with optimization problems where the objective map and/or the constraints maps are set-valued maps acting between certain spaces. Since set-valued maps subsumes single valued maps, set-valued optimization provides an important extension and unification of the scalar as well as the vector optimization problems. Therefore this relatively new discipline has justifiably attracted a great deal of attention in recent years. This book presents, in a unified framework, basic properties on ordering relations, solution concepts for set-valued optimization problems, a detailed description of convex set-valued maps, most recent developments in separation theorems, scalarization techniques, variational principles, tangent cones of first and higher order, sub-differential of set-valued maps, generalized derivatives of set-valued maps, sensitivity analysis, optimality conditions, duality, and applications in economics among other things.
T1  - Set-valued optimizationan introduction with applications /
AU  - Khan, Akhtar A.,
AU  - Tammer, Christiane,
AU  - Zălinescu, Constantin,
CN  - QA1
ID  - 724242
KW  - Duality theory (Mathematics)
KW  - Mathematical optimization.
KW  - Set-valued maps.
KW  - Programming (Mathematics)
SN  - 9783642542657
SN  - 3642542654
TI  - Set-valued optimizationan introduction with applications /
LK  - https://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-642-54265-7
UR  - https://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-642-54265-7
ER  -