On compatible mappings of type $(I)$ and $(II)$ in intuitionistic fuzzy metric spaces
Commun. Korean Math. Soc. 2008 Vol. 23, No. 3, 427-446 Printed September 1, 2008
Cihangir Alaca, Ishak Altun, and Duran Turkoglu Sinop University, Kirikkale University, Gazi University
Abstract : 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 $(II)$