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Shen, Yong-hong, Qiu, Dong, Chen, Wei. (1392). Fixed point theory for cyclic $\varphi$-contractions in fuzzy metric spaces. نشریه علمی دانشگاه سیستان و بلوچستان, 10(4), 125-133. doi: 10.22111/ijfs.2013.1052
Yong-hong Shen; Dong Qiu; Wei Chen. "Fixed point theory for cyclic $\varphi$-contractions in fuzzy metric spaces". نشریه علمی دانشگاه سیستان و بلوچستان, 10, 4, 1392, 125-133. doi: 10.22111/ijfs.2013.1052
Shen, Yong-hong, Qiu, Dong, Chen, Wei. (1392). 'Fixed point theory for cyclic $\varphi$-contractions in fuzzy metric spaces', نشریه علمی دانشگاه سیستان و بلوچستان, 10(4), pp. 125-133. doi: 10.22111/ijfs.2013.1052
Shen, Yong-hong, Qiu, Dong, Chen, Wei. Fixed point theory for cyclic $\varphi$-contractions in fuzzy metric spaces. نشریه علمی دانشگاه سیستان و بلوچستان, 1392; 10(4): 125-133. doi: 10.22111/ijfs.2013.1052

Fixed point theory for cyclic $\varphi$-contractions in fuzzy metric spaces

Iranian Journal of Fuzzy Systems
مقاله 10، دوره 10، شماره 4، آبان 2013، صفحه 125-133    اصل مقاله (366.4 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22111/ijfs.2013.1052
نویسندگان
Yong-hong Shen* 1؛ Dong Qiu2؛ Wei Chen3
1School of Mathematics and Statistics, Tianshui Normal Univer- sity, Tianshui 741001, People's Republic of China
2College of Mathematics and Physics, Chongqing University of Posts and Telecommunications, Chongqing 400065, People's Republic of China
3School of Information, Capital University of Economics and Business, Beijing, 100070, People's Republic of China
چکیده
In this paper, the notion of cyclic $\varphi$-contraction in fuzzy
metric spaces is introduced and a fixed point theorem for this type
of mapping is established. Meantime, an example is provided to
illustrate this theorem. The main result shows that a self-mapping
on a G-complete fuzzy metric space has a unique fixed point if it
satisfies the cyclic $\varphi$-contraction. Afterwards, some results in
connection with the fixed point are given.
کلیدواژه‌ها
Cyclic representation؛ Cyclic $\varphi$-contraction؛ Fixed point؛ G-Cauchy sequence؛ G-complete fuzzy metric space
مراجع
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