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Titlebook: Set-valued Optimization; An Introduction with Akhtar A. Khan,Christiane Tammer,Constantin Zăline Book 2015 Springer-Verlag Berlin Heidelber

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Tangent Cones and Tangent Sets,erivatives and epiderivatives of set-valued maps are commonly defined by taking tangent cones and tangent sets of graphs and epigraphs of set-valued maps. Moreover, properties of tangent cones and tangent sets are quite decisive in giving calculus rules for derivatives and epiderivatives of set-valu
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Duality,on vector approach, on set approach as well as on lattice approach. For set-valued optimization problems where the solution concept is based on vector approach we present conjugate duality statements. The notions of conjugate maps, subdifferential and a perturbation approach used for deriving these
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Existence Results for Minimal Points,or spaces for quasiorders generated by convex cones. We continue with the presentation of several types of convex cones and compactness notions with respect to cones. We end the chapter with existence results for vector and set optimization problems.
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Sensitivity Analysis in Set-Valued Optimization and Vector Variational Inequalities,al branches of pure and applied mathematics. During the last five decades, substantial progress has been made in sensitivity analysis for optimization problems with scalar objectives. On the other hand, the differentiability issues of the perturbation map for vector optimization problems and set opt
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