A Common Fixed Point Theorem in M-Fuzzy Metric Spaces

M-퍼지거리공간에서의 공통 부동점정리

  • Park, Jin-Han (Division of Mathematical Sciences, Pukyong National University) ;
  • Park, Jong-Seo (Department of Mathematical Education, Chinju National University of Education) ;
  • Park, Yong-Beom (Division of Mathematical Sciences, Pukyong National University) ;
  • Lee, Bu-Young (Department of Mathematics, Dong-A University)
  • Published : 2006.11.17

Abstract

In this paper, using the notion of generalized metric (or D-metric) due to Dhage [3], we give new definition of M-fuzzy metric spaces and prove a common fixed point theorem for two mappings under the condition of weak compatible and R-weakly commuting mappings in complete M-fuzzy metric spaces.

Keywords