本文讨论2 -距离空间中某些膨胀型映射对的不动点的存在性，唯一性和不动点集的性质。
This paper discusses existence and uniqueness of the fixed point of some expansion type mapping pairs and properties of fixed point sets in the 2-metric space.
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.
首先给出了典型李代数自同构的一些性质，接着用矩阵的形式具体给出典型李代数自同构共轭的充要条件，并计算了任意阶自同构的不动点集。
In this paper, some properties of automorphisms of classical Lie algebras was given first and then a classification of conjugacy automorphisms using only the matrix theory was presented.
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