Papers

We prove common fixed point theorem for weakly compatible  mappings in fuzzy metric space. We extend results of Pathak, Khan and Tiwari to fuzzy metric space.

Ishihara and Obata2 have proved that if M is a differentiable and connected Riemannian manifold of dimension > 2, which is not locally Euclidean and if M admits a conformal transformation such that the associated function ( satisfies ( (x) < 1 ε, or ((x) > 1+ε, for each x M, being a positive number, then has no fixed point. Further, Hirmatu1 has studied that a differentiable and connected Riemannian manifold admitting a conformal transformation group of sufficiently high dimension is locally conformal Euclidean. In the present paper, we have obtained results concerning the fixed point of a conformal transformation of a Kaehlerian space and concerning the locally conformally flatness of the Kaehlerian space.

In this paper, we use the notion of E.A. property in intuitionistic fuzzy metric space and prove a common fixed point theorem for five weakly compatible mappings using this property