Abstract In this paper,a kind of approximate efficient solutions to set-valued vector equilibrium problems with constraints is analyzed in real locally convex Hausdorff topological vector spaces,and the relationship between the efficient solutions and the approximate efficient solutions is discussed.Based on the concept of nearly cone-subconvexlike set-valued mapping,the optimality conditions of efficient solutions and approximate efficient solutions are established by applying the separation theorem for convex sets.Using analytic method,under the assumption of generalized convexity,the optimality necessary and sufficient conditions for both the Kuhn-Tucker-type and Lagrange-type approximate efficient solutions to the set-valued vector equilibrium problems are obtained.
Received: 11 December 2019
Published: 30 December 2016
