ε-strongly subdifferential of set-valued mapping and application
Yu Li · Journal of Shandong University · 2013
In Hausdorff locally convex topological vector spaces,the concept of e-strongly efficient subdifferential for a set-valued mapping was introduced.Under certain condition,by using the convex set separation theorem,the existence theorem for e-strongly efficient subdifferential was proposed.As an application,the necessary optimality condition of the constraint set-valued optimization problem for e-strongly efficient solutions was established in terms of Lagrange multiplier by using the concept of e-strongly efficient subdifferential for set-valued mapping.