Fixed point theorem in Intuitionistic fuzzy - 3 metric space using ∗ ∗ compatibility

As a generalization of fuzzy sets , Atanassov [14] introduced and studied the concept of intuitionistic fuzzy sets park[11] using the idea of intuitionistic fuzzy sets defined the notion of intuionistic fuzzy metric spaces with the help of continuous t-norm and continuous t co-norm as a generalization of fuzzy metric space due to George & veeramani [6] had showed that every metric induces an intuitionistic fuzzy metric every fuzzy metric space is an intuitionistic fuzzy metric space and found a necessary and sufficient condition for an intuitionistic fuzzy metric space to be complete choudhary[15] introduced mutually contractive sequence of self maps and proved a fixed point theorem kramosil & michlek [9] introduced the notion of Cauchy sequences in an intuitionistic fuzzy metric space and proved the well known fixed point theorem of Banach [4], Turkoglu et al [12] gave the generalization of jungek’s common fixed point theorem [19] to intuitionistic fuzzy metric spaces, they first formulate the definition of weakly commuting and Rweakly commuting mapping in intuitionistic fuzzy metric spaces and proved proved the intuitionistic fuzzy version of pant’s theorem[20]