On Convergence of Fixed Points in Fuzzy Metric Spaces-Reference-Cited by-同舟云学术

On Convergence of Fixed Points in Fuzzy Metric Spaces

Published:2013 Issue: Volume:2013 Page:1-6
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Shen Yonghong¹²^ORCID,Qiu Dong³^ORCID,Chen Wei⁴^ORCID

Affiliation:

1. School of Mathematics and Statistics, Tianshui Normal University, Tianshui 741001, China

2. School of Mathematics, Beijing Institute of Technology, Beijing 100081, China

3. College of Mathematics and Physics, Chongqing University of Posts and Telecommunications, Chongqing 400065, China

4. School of Information, Capital University of Economics and Business, Beijing 100070, China

Abstract

We mainly focus on the convergence of the sequence of fixed points for some different sequences of contraction mappings or fuzzy metrics in fuzzy metric spaces. Our results provide a novel research direction for fixed point theory in fuzzy metric spaces as well as a substantial extension of several important results from classical metric spaces.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2013/135202.pdf

Reference27 articles.

1. Fixed points in fuzzy metric spaces

2. On some results in fuzzy metric spaces

3. Some properties of fuzzy metric spaces

4. On fixed-point theorems in fuzzy metric spaces

5. G-completeness and M-competeness in fuzzy metric spaces: A note on a common fixed point theorem

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On Convergence of Fixed Points in G-Complete Fuzzy Metric Spaces;Journal of Function Spaces;2014

2. Fixed Point and Subfixed Point for Fuzzy Mappings in Generalized Metric Fuzzy Spaces;Journal of Applied Mathematics;2013