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Note on Two Common Fixed Point Theorems Under Strict Contractive Conditions(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2007年02期
Page:
11-14
Research Field:
数学
Publishing date:

Info

Title:
Note on Two Common Fixed Point Theorems Under Strict Contractive Conditions
Author(s):
Li Li; Fang Jinxuan
School of Mathematics and Computer Sciences,Nanjing Normal University,Nanjing 210097,China
Keywords:
comm on fixed po ints;  strict con tract ive cond it ion s;  noncompat ib le m app ings;  pointw iseR - w eak commutativity
PACS:
O177.91
DOI:
-
Abstract:
In th is p aper, w e po int ou t that tw o common f ixed poin t theorems of non-com patib le m app ings under s trict cont ractive cond it ion s g iven by R. P. Pant and V. Pant are incorrect by a counter exam p le. At th e same t im e, w e correct th ese tw o theorem s, and get tw o new common f ixed poin t th eorems of non-com patib le m appings

References:

[ 1]  Jung ck G. Com pa tiblem app ing s and common fix ed po ints, Interna t[ J]. JM athM ath Sci,1986, 9: 771-779.
[ 2]  Pant R P. R-weak comm utativ ity and common fix ed po in ts[ J]. Soochow JM ath, 1999, 25: 37-42.
[ 3]  Pant R P. Comm on fixed points o f contrac tivem aps[ J]. JM a th Ana l App,l 1998, 226: 251-258.
[ 4]  Pant R P, Pant V. Comm on fixed po ints under strict contractive cond itions[ J]. JM a th Ana lAppl, 2000, 248: 327-332.
[ 5]  Pant R P. Comm on fixed points o f noncomm uting m appings[ J]. JM ath Ana lApp,l 1994, 188: 436-440.
[ 6]  Aam riM, EIMoutawak ilD. Som e new comm on fixed po int theo rem s under str ict contractive conditions[ J]. JM ath AnalAppl,2002, 270: 181-188.
[ 7]  Pant R P, Pant V, Jha K. No te on comm on fixed po ints unde r strict contractive conditions[ J]. JM ath Ana l App,l 2002,
274: 879-880.

Memo

Memo:
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Last Update: 2013-05-05