Optimality and duality in vector optimization involving generalized type I functions over cones

摘要

In this paper generalized type-I, generalized quasi type-I, generalized pseudo type-I and other related functions over cones are defined for a vector minimization problem. Sufficient optimality conditions are studied for this problem using Clarke's generalized gradients. A Mond-Weir type dual is formulated and weak and strong duality results are established.