Fixed point theory for cyclic $\varphi$-contractions in fuzzy metric spaces
نویسندگان
1 School of Mathematics and Statistics, Tianshui Normal Univer- sity, Tianshui 741001, People's Republic of China
2 College of Mathematics and Physics, Chongqing University of Posts and Telecommunications, Chongqing 400065, People's Republic of China
3 School of Information, Capital University of Economics and Business, Beijing, 100070, People's Republic of China
doi
10.22111/ijfs.2013.1052چکیده
In this paper, the notion of cyclic $\varphi$-contraction in fuzzymetric spaces is introduced and a fixed point theorem for this typeof mapping is established. Meantime, an example is provided toillustrate this theorem. The main result shows that a self-mappingon a G-complete fuzzy metric space has a unique fixed point if itsatisfies the cyclic $\varphi$-contraction. Afterwards, some results inconnection with the fixed point are given.
