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.
在迭代过程中有数据集汇聚成单点,叫做吸性不动点。
There are data sets in iteration that converge to single points, called attractive fixed points.
利用锥理论给出了随机1-集压缩算子的随机不动点指数的一些计算方法。
Some new methods of computation for random fixed point index of random 1-set-constractive operator.
本文主要研究了弱内向1 -集压缩映象和单调算子的不动点的存在性定理及其应用。
In this thesis, we mainly investigate the existences of fixed points for weakly inward 1-set-contraction mappings and monotone operators with their applications.
研究了完备度量空间中两个单值映象和一个集值映象有唯一公共不动点的充要条件,改进了已有文献的有关结果。
The sufficient and necessary conditions of two single-valued mapping and a set-valued mapping with the only common fixed point in complete metric space are discussed.
将压缩算子不动点存在性研究推广到集值的情形,证明了几个满足压缩性质的集值算子不动点定理。
The study of existence of fixed point for contractive operators is extended to the set-valued case, and some fixed point theorems for set-valued contractive operators are proved.
讨论了半序集和半序拓扑空间中保序集值算子的最小与最大不动点的存在性。
The existence of the minimal and maximal fixed points for order preserving set-valued operators on semi-ordered sets and semi-ordered topological spaces was analyzed.
研究了在完备度量空间中一对模糊映象满足一些特定不等式条件,以及当其截集是中非空有界闭集时,该对模糊映象的公共不动点的存在性问题。
Does research in a common fixed point theorem of fuzzy mappings in inequality conditions and the cut set is the nonempty closed bounded subsets of, while is complete metric space.
定义了A-紧1-集压缩映象场的广义度,扩展了1984年张庆雍建立的半紧1-集压缩映射的不动点指数理论。
In the present paper, we define a generalized degree for A-compact 1-set contraction mapping, the result extends what Zhang Qingyong obtained in 1984.
在第二节中,我们研究了树映射的渐近稳定集,得到了不动点为渐近稳定的两个充分必要条件。
In section 2, asymptotically stable sets of tree maps are studied, and two necessary and sufficient conditions for a fixed point to be asymptotically stable are obtained.
在第二节中,我们研究了树映射的渐近稳定集,得到了不动点为渐近稳定的两个充分必要条件。
In section 2, asymptotically stable sets of tree maps are studied, and two necessary and sufficient conditions for a fixed point to be asymptotically stable are obtained.
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