Common Fixed Point Theorems in Intuitionistic Fuzzy Metric Spaces

Abstract

In this paper, we obtain common fixed point theorems in intuitionistic fuzzy metric spaces using occasionally weakly compatible maps. Our results are the intuitionistic fuzzy version of some fixed point theorems for occasionally weakly compatible mappings on different metric spaces. The binary operator, intuitionistic fuzzy metric space, modified intuitionistic fuzzy metric space, and compatible mapping are only a few of the more fundamental notions and theorems that have been borrowed from other recent scientific articles. we define the notion of intuitionistic fuzzy metric spaces as a natural generalization of fuzzy metric spaces due to George and Veeramani [Fuzzy Sets Syst. 64 (1994) 395] and prove some known results of metric spaces including Baire's theorem and the Uniform limit theorem for intuitionistic fuzzy metric spaces.