TY - BOOK ID - 17301779 TI - Set-valued optimization : an introduction with applications AU - Khan, Akhtar A. AU - Tammer, Christiane AU - Zălinescu, Constantin PY - 2014 SN - 9783642542640 9783642542657 3642542646 3642542654 PB - New York: Springer, DB - UniCat KW - Optimization. KW - Operation Research/Decision Theory. KW - Continuous Optimization. KW - Operations Research, Management Science. KW - Vector spaces. KW - Linear spaces KW - Linear vector spaces KW - Mathematics. KW - Operations research. KW - Decision making. KW - Game theory. KW - Mathematical optimization. KW - Management science. KW - Game Theory, Economics, Social and Behav. Sciences. KW - Optimization (Mathematics) KW - Optimization techniques KW - Optimization theory KW - Systems optimization KW - Mathematical analysis KW - Maxima and minima KW - Operations research KW - Simulation methods KW - System analysis KW - Algebras, Linear KW - Functional analysis KW - Vector analysis KW - Operations Research/Decision Theory. KW - Operational analysis KW - Operational research KW - Industrial engineering KW - Management science KW - Research KW - System theory KW - Math KW - Science KW - Games, Theory of KW - Theory of games KW - Mathematical models KW - Mathematics KW - Quantitative business analysis KW - Management KW - Problem solving KW - Statistical decision KW - Deciding KW - Decision (Psychology) KW - Decision analysis KW - Decision processes KW - Making decisions KW - Management decisions KW - Choice (Psychology) KW - Decision making UR - https://www.unicat.be/uniCat?func=search&query=sysid:17301779 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. ER -