摘要
通过使用切导数的概念,研究与向量均衡问题有关的集值映射和间隙函数的可微性质,讨论他们之间的切导数的关系,得到了一个计算间隙函数切导数的公式。引入了二元函数的锥凸的概念,通过使用这一新的概念,得到了间隙函数G的切导数和集值映射G-C的切导数的关系。在自反的Banach空间中而不是在有限维空间中完成灵敏度的分析。
The differential properties of a class of set-valued maps and gap functions involving vector equilibrium was investigated in this paper,using the concept of contingent derivative.The relationship between the contingent derivatives were discussed.A formula which conld calculate the contingent derivative of the gap functions was established.By appliying a presents a new concept of cone convex of bifunction,it obtained the relationship between the contingent derivative of the gap function G and the set-valued map G-C.The sensitivity analysis was studied in the reflexive Banach space instead of finite dimensional space.
出处
《南昌大学学报（理科版）》
CAS
北大核心
2011年第4期307-313,共7页
Journal of Nanchang University(Natural Science)
基金
国家自然科学基金资助项目(11061023)
江西省自然科学资助项目(2009GZS0022)
