Abstract
In this paper, we introduce the notion of compatible mappings of type (K) in intuitionistic fuzzy metric space and obtain a common fixed point theorem for self mappings on complete intuitionistic fuzzy metric space with example. Our result generalizes and improves other similar results in literature.
Highlights
Fixed point theory is an important area of functional analysis
Fuzzy metric spaces have been introduced by Kramosil and Michalek [13]
George and Veeramani [1] modified the notion of fuzzy metric spaces with the help of continuous t-norms
Summary
Fixed point theory is an important area of functional analysis. The study of common fixed point of mappings satisfying contractive type conditions has been a very active field of research. In 1998, Y.J. Cho, H.K. Pathak, S.M. Kang and J.S. Jung [16] introduced the concept of compatible mappings in fuzzy metric space.
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