锥意义下有效解的连续性  

THE CONTINUITY OF EFFICIENT SOLUTIONS ON THE CONE

作　　者：陈源[1] 向淑文[2] 

机构地区：[1]衡阳师范学院数学系,衡阳421008 [2]贵州大学理学院数学系,贵阳550025

出　　处：《系统科学与数学》2008年第7期833-838,共6页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金(10561003)资助课题

摘　　要：对于有效解的连续性和稳定性的研究,大多数结果局限于有限维空间中的讨论.从而对无限维空间中向量优化问题有效解的连续性,采取构造函数的方法、反证法和usco的方法进行探讨,得到了锥意义下有效解本质的一个充分必要条件以及相应的其他结果.There are many results on the the finite dimensional space. In the present continuity and the stability of efficient solutions in paper, the continuity of efficient solutions of vector optimization is considered in the infinite dimensional space, and a sufficient and necessary condition for the essentiality of efficient solutions on the cone is obtained by using constructive function method, reduction to absurdity and usco.

关 键 词：锥 有效解 连续性 

分 类 号：O177[理学—数学]