Krishnapada Das

Coupled coincidence point results for compatible mappings in partially ordered fuzzy metric spaces

Coupled fixed point problems have attracted much attention in recent times. In this paper we establish coupled coincidence point and coupled fixed point results in the context of fuzzy metric spaces. The two mappings considered here are assumed to be compatible. Hadzic type t-norm is used. By an application of the coincidence point theorem in fuzzy metric spaces, a corresponding result is obtained in metric spaces. The main theorem of this paper is illustrated with an example. Our work extends some existing results.

FIXED POINTS OF GENERALIZED KANNAN TYPE MAPPINGS IN GENERALIZED MENGER SPACES

Generalized Menger space introduced by the present authors is a generalization of Menger space as well as a probabilistic generaliza- tion of generalized metric space introduced by Branciari (Publ. Math. Debrecen 57 (2000), no.1-2, 31-37). In this paper we prove a Kannan type fixed point theorem in generalized Menger spaces. We also support our result by an example.

EXTENSIONS OF BANACH`S AND KANNAN`S RESULTS IN FUZZY METRIC SPACES

In this paper we establish two common xed point theorems in fuzzy metric spaces. These theorems are generalisations of the Ba- nach contraction mapping principle and the Kannans xed point theo- rem respectively in fuzzy metric spaces. Our result is also supported by examples.