@article{724242, author = {Khan, Akhtar A., and Tammer, Christiane, and Zălinescu, Constantin,}, url = {http://library.usi.edu/record/724242}, title = {Set-valued optimization an introduction with applications / [electronic resource] :}, abstract = {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.}, doi = {https://doi.org/10.1007/978-3-642-54265-7}, recid = {724242}, pages = {1 online resource (xxii, 765 pages) :}, }