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On Contractive Conditions and Fixed Points in Fuzzy Metric Space(PDF)

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

Issue:
2008年03期
Page:
29-32
Research Field:
数学
Publishing date:

Info

Title:
On Contractive Conditions and Fixed Points in Fuzzy Metric Space
Author(s):
Xue Qiongyu; Fang Jinxuan
School of Mathematics and Computer Science,Nanjing Normal University,Nanjing 210097,China
Keywords:
fuzzym e tric space;  noncompatib lem aps;  pointw iseR-w eak commuta tiv ity;  comm on fixed po int
PACS:
O189.13
DOI:
-
Abstract:
It w as po inted ou t that tw o comm on fix ed po int theorem s in fuzzy m e tric space recently g iven by Pant V con ta ined som em istakes. Bym odify ing the contractiv e condition, som e new comm on fix ed po int theo rem s in fuzzy me tr ic space we re established, w hich im proved and genera lized the results of Pant

References:

[ 1] Zadeh L A. Fuzzy sets [ J]. In fo rm and Con tro ,l 1965, 8: 338-353.
[ 2] K ramos il O, M icha lek J. Fuzzym etric and sta tistica lm etric spaces [ J]. Kybernetica, 1975, 11: 326-334.
[ 3] George A, Veeram ani P. On som e resu lts in fuzzy m etr ic space [ J]. Fuzzy Sets and System s, 1994, 64: 395-399.
[ 4] M ishra S N, S ingh S L. Comm on fixed po int of m aps on fuzzym e tric spaces [ J] . Internat JM athM a th Sc ,i 1994, 17: 253-258.
[ 5] Pant R P. Comm on fixed point theo rem s fo r contractivem aps [ J]. JM ath Ana lApp,l 1998, 226: 251-258.
[ 6] Pant V. Contractive cond itions and comm on fixed po int in fuzzy me tric space [ J]. J FuzzyM ath, 2006, 14( 2): 267-272.

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Last Update: 2013-05-05