An Addendum To: “a Common Fixed Point Theorem in Intuitionistic Fuzzy Metric Space Using Subcompatible Maps” (communicated by Naseer Shahzad)

The aim of this note is to point out a fallacy in the proof of Theorem 3.1 contained in the recent paper ( Int. J. Contemp. Math. Sci. 5 (2010), 2699-2707) proved in intuitionistic fuzzy metric spaces employing the newly introduced notion of sub-compatible pair of mappings wherein our claim is also substantiated with the aid of an appropriate example. We also rectify the erratic theorem in two ways. In order to avoid repetition and also due to paucity of the space, we assume the terminology and the notations utilized in [6] rather than presenting the same again. For more recent developments, we refer the readers to [1, 3, 9] and references cited therein. The following definitions are essentially contained in [6]. Definition 0.1. Let (X,M,N, ∗, ⋄) be an intuitionistic fuzzy metric space. A pair of self maps (A,S) defined on X is said to be compatible iff lim n→∞ M(ASxn, SAxn, t) = 1 and lim n→∞ N(ASxn, SAxn, t) = 0 wherein {xn} are sequences in X with lim n→∞ Axn = lim n→∞ Sxn = z, z ∈ X. Definition 0.2. Let (X,M,N, ∗, ⋄) be an intuitionistic fuzzy metric space. A pair of self maps (A,S) defined on X is said to be reciprocally continuous if lim n→∞ ASxn = Az, lim n→∞ SAxn = Sz, wherein {xn} are sequences in X with lim n→∞ Axn = lim n→∞ Sxn = z for some z ∈ X. 2000 Mathematics Subject Classification. 54H25, 47H10.