Scalarization and Separation by Translation Invariant Functions : with Applications in Optimization, Nonlinear Functional Analysis, and Mathematical Economics

Introduction -- Sets and Binary Relations -- Extended Real-Valued Functions -- Translation Invariant Functions -- Minimizers of Translation Invariant Functions -- Vector Optimization in General Spaces -- Multiobjective Optimization -- Variational Analysis -- Special Cases and Functionals Related to φA,k -- Set-Valued Optimization Problems -- Vector Optimization With Variable Domination Structures -- Variational Methods in Topological Vector Spaces -- Algorithms for the Solution of Optimization Problems -- Optimization Under Uncertainty -- Further Applications. .