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Compatible Mappings and Common Fixed Points(PDF)

《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

Issue:
2001年05期
Page:
557-560
Research Field:
Publishing date:

Info

Title:
Compatible Mappings and Common Fixed Points
Author(s):
ZhuShunrong
School of Sciences,NUST,Nanjing 210094
Keywords:
common f ix ed points commut ing maps compatible maps
PACS:
O189.1
DOI:
-
Abstract:
Let P , Q and T be self maps of a complete metric space ( X , d ) such that PT = TP , QT = T Q , Singh, S. L. and Singh, S P. prove P , Q and T have a unique common f ix ed point. T his paper applies compat ible maps in lieu of commut ing maps, and uses four funct ions as opposed to three. Let A , B , S and T be self maps of a metric space ( X , d ) , the pairs A , S and B , T are compat ible, then A , B , S and T have a unique common f ix ed point .

References:

1 Sing h S L, Sing h S P. A fixed point theorem. I ndian J Pure Appl Math, 1980, 11: 1 584~ 1 586
2 Jung ck G. Compatible mappings and common fixed po ints1 Internat J Math & Math Sci, 1986, 9:771~ 779

Memo

Memo:
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Last Update: 2013-03-25