Asplund空间中方向上导数和序列法紧性质分析法则
发布时间：2018-11-11 15:16
【摘要】：研究了广义微分结构中的集合方向Mordukhovich法锥、集值映射的方向上导数,以及集合和集值映射的方向序列法紧性的分析法则.基于集合方向Mordukhovich法锥的交集法则,在方向内半紧性假设下,建立了集合的方向Mordukhovich法锥、集值映射的方向上导数的分析法则.此外,借助Asplund乘积空间中集合的方向序列法紧性的交集法则,在方向内半紧性和相应的规范条件下,建立了集合和集值映射的(部分)方向序列法紧性的加法、逆像、复合等法则.
[Abstract]:In this paper, we study the Mordukhovich normal cone of set direction, the direction upper derivative of set-valued mapping, and the compactness of direction sequence method of set and set-valued mapping in generalized differential structure. Based on the intersection rule of the Mordukhovich normal cone in the set direction and under the assumption of semi-compactness in the direction, the analysis rule of the direction Mordukhovich normal cone of the set and the direction upper derivative of the set-valued mapping is established. In addition, with the aid of the intersection rule of the direction sequence method compactness of the set in Asplund product space, under the condition of the semi-compactness in the direction and the corresponding gauge, the addition and inverse image of the compactness of the (partial) direction sequence method of the set and the set-valued mapping are established. Compound equal law
【作者单位】： 内蒙古大学数学科学学院;重庆师范大学数学科学学院;东密歇根大学数学学院;
【基金】：国家自然科学基金(重点项目)(11431004)~~
【分类号】：O172.1
本文编号：2325251
[Abstract]:In this paper, we study the Mordukhovich normal cone of set direction, the direction upper derivative of set-valued mapping, and the compactness of direction sequence method of set and set-valued mapping in generalized differential structure. Based on the intersection rule of the Mordukhovich normal cone in the set direction and under the assumption of semi-compactness in the direction, the analysis rule of the direction Mordukhovich normal cone of the set and the direction upper derivative of the set-valued mapping is established. In addition, with the aid of the intersection rule of the direction sequence method compactness of the set in Asplund product space, under the condition of the semi-compactness in the direction and the corresponding gauge, the addition and inverse image of the compactness of the (partial) direction sequence method of the set and the set-valued mapping are established. Compound equal law
【作者单位】： 内蒙古大学数学科学学院;重庆师范大学数学科学学院;东密歇根大学数学学院;
【基金】：国家自然科学基金(重点项目)(11431004)~~
【分类号】：O172.1
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