International Journal of Fuzzy Logic and Intelligent Systems

Korean Institute of Intelligent Systems (한국지능시스템학회)
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Some Common Fixed Point Theorems using Compatible Maps in Intuitionistic Fuzzy Metric Space

  • Park, Jong-Seo (Department of Mathematic Education, Chinju National University of Education)
  • Received : 2010.10.18
  • Accepted : 2011.03.16
  • Published : 2011.06.25
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Abstract

Kaneko et a1.[4] etc many authors extended with multi-valued maps for the notion of compatible maps in complete metric space. Recently, O'Regan et a1.[5] presented fixed point and homotopy results for compatible single-valued maps on complete metric spaces. In this paper, we will establish some common fixed point theorems using compatible maps in intuitionistic fuzzy metric space.

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References

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  2. Common Fixed Point and Example for Type(β) Compatible Mappings with Implicit Relation in an Intuitionistic Fuzzy Metric Space vol.14, pp.1, 2014, https://doi.org/10.5391/IJFIS.2014.14.1.66
  3. On Common Fixed Point for Single and Set-Valued Maps Satisfying OWC Property in IFMS using Implicit Relation vol.15, pp.2, 2015, https://doi.org/10.5391/IJFIS.2015.15.2.132