A COMMON FIXED POINT THEOREM USING COMPATIBLE MAPS OF TYPE (γ) AND (δ)

The generalization of the commuting mapping concept is compatible mapping
which is introduced by Gerald Jungck [3]. This concept was generalized to
fuzzy metric spaces by Mishra et al. [8]. Y. J. Cho introduced the concept of
compatible mapping of type (α) [1] and compatible mapping of type (β) [2].The authors defined intuitionistic (ψ, η) contractive mapping in [7]. Using thedefinition of ψ, we gave a common fixed point theorem. Also, The authors
introduced compatible mapping of type (γ) and compatible mapping of type (δ)in [6]. Further, the theorem is discussed for two different types of compatible
mappings. In this paper [7], ψ is defined as follows.