On fixed point theorems in fuzzy metric spaces using a control function

Document Type : Research Paper


School of Mathematical Sciences, North Maharashtra University, Jalgaon, P.O. 425001, Fax-02572257406, India


In this paper, we generalize Fuzzy Banach contraction theorem established by V. Gregori and A. Sapena [Fuzzy Sets and Systems 125 (2002) 245-252] using notion of altering distance which was initiated by Khan et al. [Bull. Austral. Math. Soc., 30(1984), 1-9] in metric spaces.