集值映射拓扑度的延拓定理

Extensive Theorms of Topolgical Degree for Multi-valucd Mapping

根据陈文原单值映射的拓扑度延拓,在Banach空间引入了一个关于Hausdorff度量的不等式。然后,利用此不等式,在Banach空间对于上半连续集值映射建立了拓扑度延拓的相关结论。

The extension of topological degree for single-valued mapping is introduced by Chen wenyuan in \. We firstly prove an inequality for Hausdorff metric in Banach space. Then, by using the inequality, it has been established that extension of topolical degree for upper semicontinuous multi-valued mapping.