Mitiku, Semu (PhD)Alemye, Gashaw2019-04-222023-11-042019-04-222023-11-042017-10-05http://etd.aau.edu.et/handle/123456789/18119This Project is about the study of rst order necessary and su cient conditions for unconstrained cone d.c. programming problems where the underlined space is partially ordered with respect to a cone.These conditions are given in terms of directional derivatives and sub di erentials of the component functions.Moreover,conjugate duality for cone d.c.optimization is discussed and weak duality theorem is proved in a more general partially ordered linear topological vector space.enOptimizationConjugate DualityScalar D C functionsVector OptimizationThesis