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Commun. Korean Math. Soc. 2008; 23(3): 427-446
Printed September 1, 2008
Copyright © The Korean Mathematical Society.
On compatible mappings of type $(I)$ and $(II)$ in intuitionistic fuzzy metric spaces
Cihangir Alaca, Ishak Altun, and Duran Turkoglu
Sinop University, Kirikkale University, Gazi University
In this paper, we give some new definitions of compatible mappings in intuitionistic fuzzy metric spaces and we prove a common fixed point theorem for four mappings under the condition of compatible mappings of type $(I)$ and of type $(II)$ in complete intuitionistic fuzzy metric spaces.
Keywords: intuitionistic fuzzy metric space, common fixed point, compatible mappings and compatible mappings of types $(\alpha )$, $(\beta )$, $(I)$ and $(II)$
MSC numbers: 54H25, 54A40, 47H10
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