Fixed point theorems for cyclic contraction mappings in fuzzy metric spaces
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- 作者：Yonghong Shen (4) (5)
Wei Chen (5) - 刊名：Fixed Point Theory and Applications
- 出版年：2013
- 出版时间：December 2013
- 年：2013
- 卷：2013
- 期：1
- 全文大小：195KB
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Wei Chen (5)
4. School of Mathematics, Beijing Institute of Technology, Beijing, 100081, P.R. China
5. School of Information, Capital University of Economics and Business, Beijing, 100070, P.R. China - ISSN：1687-1812
文摘
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.