Abstract
In this paper, common fixed point theorems for occasionally weakly compatible mappings in intuitionistic fuzzy metric space has been proved which is a generalization of the result of Turkoglu et. al. [9]. We also cited an example in support of our result.
Highlights
Fuzzy set theory was first introduce by Zadeh[14] in 1965 to describe the situation in which data are imprecise or vague or uncertain
Thereafter the concept of fuzzy set was generalized as intuitionistic fuzzy set by K
Using the idea of intuitionistic fuzzy set, Park[7] introduced the notion of intuitionistic fuzzy metric spaces with the help of continuous t-norms and continuous t-conorms, which is a generalization of fuzzy metric space due to George and Veeramani[2]
Summary
Fuzzy set theory was first introduce by Zadeh[14] in 1965 to describe the situation in which data are imprecise or vague or uncertain. It has a wide range of application in the field of population dynamics , chaos control , computer programming , medicine , etc. In intuitionistic fuzzy metric space, Mohamad[1] proved Banach Fixed Point theorem. We have redefined the notion of contraction mapping in a intuitionistic fuzzy metric space and directly, it has been proved that the every iterative sequence is a Cauchy sequence, that is, we don’t need to assume that every contractive sequences are Cauchy sequences. Thereafter we have established the Banach Fixed Point theorem. We have established another two sets of sufficient conditions for a mapping to have unique fixed point
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