On fuzzy contractive mappings in fuzzy metric spaces

被引：112
|
作者：
Mihet, Dorel [1 ]
机构：
[1] W Univ Timisoara, Fac Math & Comp Sci, Timisoara 300223, Romania
来源：
FUZZY SETS AND SYSTEMS | 2007年 / 158卷 / 08期
关键词：
fuzzy metric space; probabilistic metric space; convergence in the sense of Frechet; fuzzy contractive mapping;
D O I：
10.1016/j.fss.2006.11.012
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Some results on fuzzy contractive mappings in [V. Gregori, A. Sapena, On fixed point theorems in fuzzy metric spaces, Fuzzy Sets and Systems 125 (2002) 245-253] are extended to Edelstein fuzzy contractive mappings. Some new results are obtained by modifying the notion of convergence in fuzzy metric spaces. Due to specific axiom (GV-2), in fuzzy metric spaces in the sense of George and Veeramani this convergence is Frechet. (c) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码：915 / 921
页数：7
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