【摘要】 本文研究了双曲线性自同胚的平均跟踪性.利用双曲线性映射的性质和压缩映射定理,得到了在有界的Banach空间上的双曲线性自同胚具有平均跟踪性.另外,证明了在一般的度量空间上的压缩映射也具有平均跟踪性.更多还原

【Abstract】 In this article, we study the average-shadowing property (ASP) of the hyperbolic linear homeomorphism. By means of property of hyperbolic linear mapping and contraction mapping principle, we obtain that the hyperbolic linear homeomorphism has ASP in bounded Banach space. In addition, we prove that the contraction mapping has ASP in general metric space.更多还原