International Journal of Fuzzy Logic and Intelligent Systems

Korean Institute of Intelligent Systems (한국지능시스템학회)
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Some Common Fixed Points for Type(β) Compatible Maps in an Intuitionistic Fuzzy Metric Space

  • Park, Jong Seo (Department of Mathematic Education, Chinju National University of Education)
  • Received : 2012.08.02
  • Accepted : 2013.05.13
  • Published : 2013.06.25
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Abstract

Previously, Park et al. (2005) defined an intuitionistic fuzzy metric space and studied several fixed-point theories in this space. This paper provides definitions and describe the properties of type(${\beta}$) compatible mappings, and prove some common fixed points for four self-mappings that are compatible with type(${\beta}$) in an intuitionistic fuzzy metric space. This paper also presents an example of a common fixed point that satisfies the conditions of Theorem 4.1 in an intuitionistic fuzzy metric space.

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References

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  1. 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