一类广义凸集值优化的Benson真有效解

Benson Properly Efficient Solution to a Class of Generalized Convex Set-valued Optimization Problems

在内部锥类凸集值映射的假设下,证明了集值优化问题的Benson真有效解与其相应的标量化问题的最优解和无约束向量极小化问题的Benson真有效解的等价性.

Under the assumption of ic-cone-convexlike set-valued map,this paper studies Benson properly efficient solution to set-valued optimization problem and the equivalence of the optimal solution to its corresponding scale problem and Benson properly efficient solution to unconstrained vector minimization problem.