$psi -$weak Contractions in Fuzzy Metric Spaces

Authors

  • D. Gopal Department of Mathematics and Humanities, S. V. National Institute of Technology, Surat, 395007, Gujarat, India
  • M. Imdad Department of Mathematics, Aligarh Muslim University, 202002, Aligarh, India
  • Mujahid Abbas Department of Mathematics, Lahore University of Management Sci- ences, 54792- Lahore, Pakistan
Abstract:

In this paper, the notion of $psi -$weak contraction cite{Rhoades} isextended to fuzzy metric spaces. The existence of common fixed points fortwo mappings is established where one mapping is $psi -$weak contractionwith respect to another mapping on a fuzzy metric space. Our resultgeneralizes a result of Gregori and Sapena cite{Gregori}.

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Journal title

volume 8  issue 5

pages  141- 148

publication date 2011-10-06

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