A common fixed point theorem for weakly compatible maps satisfying common property (E:A:) and implicit relation in intuitionistic fuzzy metric spaces


School of Mathematics and Computer Applications, Thapar University, Patiala (Punjab) India


In this paper, employing the common property ($E.A$), we prove a common fixed theorem for weakly compatible mappings via an implicit relation in Intuitionistic fuzzy metric space. Our results generalize the results of S. Kumar [S. Kumar, {\it Common fixed point theorems in Intuitionistic fuzzy metric spaces using property (E.A)}, J. Indian Math. Soc., 76 (1-4) (2009), 94--103] and C. Alaca et al. [C. ~Alaca, D. ~Turkoglu and C. ~Yildiz, {\it Fixed points in Intuitionistic fuzzy metric spaces}, Chaos Solitons and Fractals, 29 (2006), 1073--1078].