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

作　　者：李杉林[1] 张立云[2] 

机构地区：[1]太原师范专科学校数学系,山西太原030001 [2]山西大学数学系,山西太原030006

出　　处：《华北工学院学报》2000年第2期102-104,共3页Journal of North China Institute of Technology

摘　　要：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.

关 键 词：集值映射 向量优化 锥有效解 锥次微分 锥扰动 

分 类 号：O144[理学—数学] O221[理学—基础数学]