This paper proves that every probabilistic contraction map from E to E has a unique fixed point, where E is a complete and uniformly local semi-convex probabilistic normed space, and obtains a fixed point theorem in metric linear spaces.
【更新日期】
2005-08-19
【分类号】
O177.91
【正文快照】
1 Introduetion It 15 well known that the famous Banaeh eontraetion theory holds in metrie sPaees,th战 15,the eompleteness of metrie spaees implies the eontraetion property.In 1953,Borwein川 Proved the equivalenee between the eomPleteness and the eofltract