A new contractive mapping principle in fuzzy metric spaces

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• 作者：P. Saha ; Binayak S. Choudhury ; Pradyut Das
• 关键词：Fuzzy metric spaces ; $$\alpha ; \psi $$ α ; ψ ; Contraction ; $$\alpha $$ α ; Admissible ; Continuous t ; norm ; Fixed point ; 47H25 ; 54H10
• 刊名：Bollettino dell'Unione Matematica Italiana
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：8
• 期：4
• 页码：287-296
• 全文大小：384 KB
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• 作者单位：P. Saha (1)
  Binayak S. Choudhury (1)
  Pradyut Das (1)
  
  1. Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, P.O. B. Garden, Shibpur, Howrah, West Bengal, 711103, India
  
• 刊物类别：Mathematics, general;
• 刊物主题：Mathematics, general;
• 出版者：Springer International Publishing
• ISSN：2198-2759

文摘

In this paper we introduce a new fuzzy contraction mapping and prove that such mappings have fixed point in complete fuzzy metric spaces. We give an illustrative example. The result generalizes some existing results. Keywords Fuzzy metric spaces \(\alpha -\psi \)-Contraction \(\alpha \)-Admissible Continuous t-norm Fixed point