Fixed points in intuitionistic fuzzy metric spaces

被引：111
|
作者：
Alaca, Cihangir [1 ]
Turkoglu, Duran [1 ]
Yildiz, Cernil [1 ]
机构：
[1] Gazi Univ, Fac Sci & Arts, Dept Math, TR-06500 Ankara, Turkey
来源：
CHAOS SOLITONS & FRACTALS | 2006年 / 29卷 / 05期
关键词：
D O I：
10.1016/j.chaos.2005.08.066
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The purpose of this paper, using the idea of intuitionistic fuzzy set due to Atanassov [Atanassov K. Intuitionistic fuzzy sets. Fuzzy Sets Syst 1986;20:87-96], we define the notion of intuitionistic fuzzy metric spaces due to Kramosil and Michalek [Kramosil 0, Michalek J. Fuzzy metric and statistical metric spaces. Kybernetika. 1975; 11:326-34]. Further the well-known fixed point theorems of Banach and Edelstein are extended to intuitionistic fuzzy metric spaces with the help of Grabiec [Grabiec M. Fixed points in fuzzy metric spaces. Fuzzy Sets Syst 1988;27:385-9]. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1073 / 1078
页数：6
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