Related fixed point theorems on complete and compact metric spaces 完备度量空间与紧度量空间上的不动点定理
Compact metric space 紧度量空间
In this paper , to study fixed - point of compact metric space , and obtain one pair fixed - point theorems of expansion mapping and compression mapping . the results are improved in the papers [ 1 ] , [ 2 ] 摘要研究了紧度量空间上的不动点问题。得到扩张映射与压缩映射的不动点定理。推广了文献[ 1 ] 、 [ 2 ]的结果。
In this paper it is proved that there are no scramble sets with nonzero invariant probability measure and especially there are no sequence - distribution - scramble sets with nonzero invariant probability measure in the minimal mappings of a compace metric space and interval mappings with zero topological entropy 摘要证明紧度量空间的极小映射以及拓扑熵为零的区间映射不存在具有非零不变概率测度的混沌子集,特别不存在具有非零不变概率测度的序列分布混沌子集。