On Optimality Condition for Vector Optimization Based on Convex Set-Valued Mapping

In this paper, concepts such as cone-weakly efficient subdifferential and subgradientwith respect to set-valued mapping in a locally convex topological vector space are to beintroduced. And a number of the necessary and sufficient conditions for the cone-weaklyefficient solutions of vector optimization problem based on convex set-valued mapping arethen to be established.