Abstract:

We considered the ε-strict efficiency of setvalued optimization in Hausdorff locally convex topological linear spaces. When ordered pair mapping consisting of the object function and constrained function was near conesubconvexlikeness, under the assumption of weaker constraint qualification, with the help of separated theorem of convex sets, we obtained Lagrangian type optimality conditions for ε-strictly efficient solutions of setvalued optimization.

Key words: ε-strictly efficient solution, near conesubconvexlikeness, separated theorem of convex set, Lagrangian multiplier theorem