Set valued Optimization : An Introduction with Applications Introduction Order Relations and Ordering Cones Continuity and Differentiability Tangent Cones and Tangent Sets Nonconvex Separation Theorems Hahn Banach Type Theorems Hahn Banach Type Theorems Conjugates and Subdifferentials Duality Existence Results for Minimal Points Ekeland Variational Principle Derivatives and Epiderivatives of Set valued Maps Optimality Conditions in Set valued Optimization Sensitivity Analysis in Set valued Optimization and Vector Variational Inequalities Numerical Methods for Solving Set valued Optimization Problems Applications 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