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Set-valued Optimization - An Introduction with Applications (Hardcover, 2015 ed.)
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Set-valued Optimization - An Introduction with Applications (Hardcover, 2015 ed.)
Series: Vector Optimization
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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.
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