拓扑向量空间集值优化问题的强有效解

Strong Efficient Solutions in Set-Valued Optimization Problem in Topological Vector Space

在Hausdorff局部凸拓扑向量空间中考虑约束集值优化问题的强有效性.在内部锥类凸假设下,利用凸集分离定理,得到了强有效解的Lagrange乘子定理。

The set-valued optimization problem with constraints is considered in the sense of strong efficiency in Hausdorff locally convex vector topological spaces.Under the assumption of the ic-cone-convexlikeness by applying separation theorem for convex sets,the Lagrange multiplier thoerems for strong efficient solution is established.