A converse to a fixed point theorem of Bailey

✍ Scribed by T.F. McCabe

• Publisher: Elsevier Science
• Year: 1974
• Weight: 295 KB
• Volume: 4
• Category: Article
• ISSN: 0016-660X
• DOI: 10.1016/0016-660x(74)90018-x

✦ Synopsis

In this note it is shown thai if X is a compact metric space and f is a co11 tinuo~.~s selfmap of X, then each pair of points is proximxi under f if anti only if there is a fixle d poisrt 11 such that tt E L(x) for each x E .X.