集值映射向量优化问题的ε-弱有效解

εWeak Efficient Solutions of Vector Optimization Problems with SetValued Maps

对目标映射和约束映射为锥┐次类凸条件下的集值映射向量优化问题，建立了ε┐弱有效解的标量化定理、ε┐Ｌａｇｒａｎｇｅ乘子定理、ε┐鞍点定理，构造出原问题的Ｌａｇｒａｎｇｅ型对偶问题。

 εWeak efficient solutions of vector optimization problems with setvalued maps are discussed.Under the assumption of the conesubconvexlikeness for setvalued maps,the scalarization theorem,the εLagrange multipliers theorem,the εsaddlepoint theorem and the εduality theorem for εweak efficient solutions of vector optimization problems with setvalued maps are obtained in locally convex topological vector spaces.