Set-Valued Optimization : An Introduction with Applications
Overview
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.
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Details
- ISBN-13: 9783642542640
- ISBN-10: 3642542646
- Publisher: Springer
- Publish Date: October 2014
- Dimensions: 9.21 x 6.14 x 1.63 inches
- Shipping Weight: 2.8 pounds
- Page Count: 765
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