$\psi -$weak Contractions in Fuzzy Metric Spaces

نویسندگان
Gopal, D. ID 1
Abbas, Mujahid ID 2
Imdad, M. ID 3

1 Department of Mathematics and Humanities, S. V. National Institute of Technology, Surat, 395007, Gujarat, India

2 Department of Mathematics, Lahore University of Management Sci- ences, 54792- Lahore, Pakistan

3 Department of Mathematics, Aligarh Muslim University, 202002, Aligarh, India

doi
10.22111/ijfs.2011.303
چکیده

In this paper, the notion of $\psi -$weak contraction \cite{Rhoades} isextended to fuzzy metric spaces. The existence of common fixed points fortwo mappings is established where one mapping is $\psi -$weak contractionwith respect to another mapping on a fuzzy metric space. Our resultgeneralizes a result of Gregori and Sapena \cite{Gregori}.

کلیدواژه‌ها
Weekly compatible mappings, Fuzzy metric spaces, Common fixed point, $\psi-$weak contractions