本文给出了集值映射的上半连续性和下半连续性同图象的闭性和开性间的一些关系。

This paper gives some relation of U. S. C. and L. S. C. of set-valued mappings with closed and open property of image.

youdao

即证明了每一上半连续非空紧凸值集值映射至少存在一个该映射不动点集的极小连续本质集，以及该极小连续本质集是连通的。

It is proved that there exist at least one minimal continuously essential set of fixed points, and the minimal continuously essential set is connected.

youdao

最后，在恰当的假设条件下，获得了弱扰动映射的二阶邻接导数的上半连续和下半连续性。

Finally, under suitable assumptions, we obtain the upper semicontinuity and the lower semicontinuity of second-order adjacent derivatives for the weak perturbation maps.

youdao