Common fixed point theorems in L-fuzzy metric spaces

H. Adibi, Y. J. Cho, D. O'Regan, R. Saadati

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39 Citations (Scopus)

Abstract

In this paper, at first we prove a common fixed point theorem in L-fuzzy metric space. Secondly, to introduce the concept of compatible mappings of type (P) in L-fuzzy metric space, which is equivalent to the concept of compatible and compatible mappings of type (A) under some appropriate conditions. In the sequel, we derive some relations between these mappings. Then, we prove a coincidence point theorem and a fixed point theorem for compatible mappings of type (P) in L-fuzzy metric space, for four mappings.

Original languageEnglish
Pages (from-to)820-828
Number of pages9
JournalApplied Mathematics and Computation
Volume182
Issue number1
DOIs
Publication statusPublished - 1 Nov 2006

Keywords

  • Complete L-fuzzy metric space
  • Fixed point theorem
  • L-Fuzzy contractive mapping

Authors (Note for portal: view the doc link for the full list of authors)

  • Authors
  • Adibi, H;Cho, YJ;O'Regan, D;Saadati, R

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