锥扰动向量最优化问题有效解的锥次微分

The Cone-Subdifferential of Efficient Solutions Set for Vector Optimizations Problem with Perturbed Order

目的 研究锥扰动集值映射向量优化问题锥有效解的锥次可微性 .方法 依据拓扑 ,凸分析和泛函分析的理论 ,对于锥扰动向量优化问题中特定的集值映射进行分析和研究 .结果 分别给出了锥有效解和锥弱有效解的锥次可微和锥弱次可微的充分条件 .

Aim To study the cone subdifferential of the cone efficient solution sets for set valued vector optimization problem with perturbed order. Methods The theories of topology, convex analysis and functional analysis are used to study and analyze some properties of the set valued function in the problem. Results The sufficient conditions of cone subdifferential and weak cone subdifferential for cone efficient solutions set and weak cone efficient solutions set of the problem are obtained. Conclusion The theory of vector optimization is complemented.