Fixed point theorems for cyclic contraction mappings in fuzzy metric spaces

被引：4

作者：

Shen, Yonghong ^{[1
,2
]}

Chen, Wei ^{[3
]}

机构：

[1] Tianshui Normal Univ, Sch Math & Stat, Tianshui 741001, Peoples R China

[2] Beijing Inst Technol, Sch Math, Beijing 100081, Peoples R China

[3] Capital Univ Econ & Business, Sch Informat, Beijing 100070, Peoples R China

来源：

FIXED POINT THEORY AND APPLICATIONS | 2013年

关键词：

Fixed Point Theorem; Nonexpansive Mapping; Fixed Point Theory; Unique Fixed Point; Iterative Sequence;

D O I：

10.1186/1687-1812-2013-133

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, an extension of the Edelstein contraction theorem for cyclic contractions in a fuzzy metric space is established, which also can be considered as a generalization of the fuzzy Edelstein contraction theorem introduced by Grabiec. Additionally, we extend a fixed point theorem in G-complete fuzzy metric spaces given by Shen et al. to M-complete fuzzy metric spaces. Meantime, two examples are constructed to illustrate the corresponding results, respectively.

引用

页数：9