Full-Text Search:
Home|About CNKI|User Service|中文
Add to Favorite Get Latest Update

Some Fixed Point Theorems on Mappings of Expansion

Zhu Fuzheng  
This paper has given five definitions of mappings of expansion of type VIII, XI, XIII, XIV, XV. and the proof of the existence of fixed point of T. When T is a full mapping of expansion of type VIII, its fixed point is uniquely determined. When T is a full mapping of expansion of type XI, the set of all its fixed points is a closed set. When the mapping of expansion of type XIII is full and continuous, if there exists x_0∈X and (x_n=Tx_(n+1))_(n=0)~∞ has an accumulation point ξ∈X, then T has fixed point and the set of all fixed points is a closed set. For a full mapping of expansion of type XIV, and for a full mapping of expansion type XV, when a(t) is continuous, and a(t)≠1, their fixed points are uniquely determined.
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
©CNKI All Rights Reserved