关键词: ε-超有效解, 内部锥类凸性, 标量化定理, ε-Lagrange乘子定理

Abstract: In locally convex linear topological spaces, the ε-super efficient solution for vector optimization with setvalued maps was int roduced. Under the assumption of the ic-cone-convexlikeness of setvalued maps, by applying separation theorem for convex sets, the scalarization theorems were established. By using the alternativetheorem, the ε-Lagrange multiplier theorems were derived.

Key words: ε-super efficient solution, ic-cone-convexlikeness, scalarization theorem, ε-Lagrange multiplier theorem