Lagrange multiplier rules for approximate solutions in vector optimization
Caiping Liu, Joseph H. W. Lee · Journal of Industrial and Management Optimization · 2012
In Asplund space, Lagrange multiplier rules for approximate solutions of nonsmooth vector optimization problems are studied. The relationships between the vector and the scalar optimization problems are established. And the optimality conditions of approximatesolutions for vector optimization are obtained. Moreover, thevector variational inequalities are considered by applying thepartial results given in this paper.