TY - JOUR
ID - 1052
TI - Fixed point theory for cyclic $\varphi$-contractions in fuzzy metric spaces
JO - Iranian Journal of Fuzzy Systems
JA - IJFS
LA - en
SN - 1735-0654
AU - Shen, Yong-hong
AU - Qiu, Dong
AU - Chen, Wei
AD - School of Mathematics and Statistics, Tianshui Normal Univer-
sity, Tianshui 741001, People's Republic of China
AD - College of Mathematics and Physics, Chongqing University of Posts and
Telecommunications, Chongqing 400065, People's Republic of China
AD - School of Information, Capital University of Economics and Business,
Beijing, 100070, People's Republic of China
Y1 - 2013
PY - 2013
VL - 10
IS - 4
SP - 125
EP - 133
KW - Cyclic representation
KW - Cyclic $\varphi$-contraction
KW - Fixed
point
KW - G-Cauchy sequence
KW - G-complete fuzzy metric space
DO - 10.22111/ijfs.2013.1052
N2 - 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.
UR - https://ijfs.usb.ac.ir/article_1052.html
L1 - https://ijfs.usb.ac.ir/article_1052_bef858d33cac8adb4eaaa9d48f565200.pdf
ER -