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

Document Type : Research Paper


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, Common fixed point theorems in Intuitionistic fuzzy metric spaces using property (E.A), J. Indian Math. Soc., 76 (1-4) (2009), 94-03] and C. Alaca et al. [C. Alaca, D. Turkoglu and C. Yildiz,  Fixed points in Intuitionistic fuzzy metric spaces, Chaos Solitons and Fractals, 29 (2006), 1073-1078].


  • Receive Date: 25 May 2013
  • Revise Date: 14 May 2014
  • Accept Date: 17 October 2014