约束锥和控制锥扰动多目标规划的稳定性

Stability of Multiobjective Programming under the Constraint Cone and the Control Cone Perturbations

研究了Banach空间中的约束锥和控制锥同时受扰动时,其锥有效点集和锥弱有效点集在半连续意义下的稳定性。在此基础上,得到了约束锥和控制锥扰动多目标规划问题的锥有效解集和锥弱有效解集在半连续意义下的稳定性。

The stability in the sense of semicontinuation for the cone efficient points and the cone weakly efficient points of a perturbation set in Banach space with perturbation order are studied. On this basis, the stability for the cone efficient solutions and the cone weakly efficient solutions of muhiobjective projiamming problem under two perturbations are obtained in Banach space.