Vector Optimization: An Introduction with Applications

Khan, Akhtar A.; Tammer, Christiane; Zălinescu, Constantin

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 economicsamong other things.

Details

Published by: Springer

Publication Date: 2014-10-28

Format: Hardcover

ISBN-13: 9783642542640

DOI: 10.1007/978-3-642-54265-7

Dimensions: 235cm x155cm

Pages: 765