[1]李莉,方锦暄.两个严格压缩条件下的公共不动点定理的注记(英文)[J].南京师范大学学报(自然科学版),2007,30(02):11-14.
 Li Li,Fang Jinxuan.Note on Two Common Fixed Point Theorems Under Strict Contractive Conditions[J].Journal of Nanjing Normal University(Natural Science Edition),2007,30(02):11-14.
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两个严格压缩条件下的公共不动点定理的注记(英文)()
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《南京师范大学学报》(自然科学版)[ISSN:1001-4616/CN:32-1239/N]

卷:
第30卷
期数:
2007年02期
页码:
11-14
栏目:
数学
出版日期:
2007-06-30

文章信息/Info

Title:
Note on Two Common Fixed Point Theorems Under Strict Contractive Conditions
作者:
李莉;方锦暄;
南京师范大学数学与计算机科学学院, 江苏南京, 210097
Author(s):
Li LiFang Jinxuan
School of Mathematics and Computer Sciences,Nanjing Normal University,Nanjing 210097,China
关键词:
公共不动点 严格压缩条件 不相容映射 点式R-弱交换性
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
分类号:
O177.91
摘要:
本文通过一个反例指出,R.P.Pant和V.Pant给出的两个在严格压缩条件下的不相容映射的公共不动点定理是不正确的.同时,修正了这两个定理,得到两个新的不相容映射的公共不动点定理.
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

参考文献/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.

相似文献/References:

[1]毛铭桦,方锦暄.几个新的弱相容映射的公共不动点定理(英文)[J].南京师范大学学报(自然科学版),2008,31(04):40.
 Mao Minghua,Fang Jinxuan.Some New Common Fixed Point Theorems for Weakly Compatible Mappings[J].Journal of Nanjing Normal University(Natural Science Edition),2008,31(02):40.

备注/Memo

备注/Memo:
Foundation item: Supported by the N atura lS cien ce Foundat ion of Educat ional Departm ent of J iangsu Province( 04KJB110061) .
Biography: LiLi , born in 1982, fem ale, m as ter, m ajored in the functional an alysis and fu zzy m athem at ics. E-mail:ttq82@ 126. com
Corresponding autho r: Fang J inxuan, born in 1943, p rofessor, m ajored in the functional ana lysis and fuzzy mathematics. E-mail: jxfang@ n jnu.edu. cn
更新日期/Last Update: 2013-05-05