Common tripled fixed point theorem for W-compatible mappings in fuzzy metric spaces
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Authors
Jing-Feng Tian
- College of Science and Technology, North China Electric Power University, Baoding, Hebei Province, 071051, P. R. China.
Xi-Mei Hu
- China Mobile Group Hebei Co., Ltd., Baoding, Hebei Province, 071000, P. R. China.
Hong-Shan Zhao
- School of Electrical and Electronic Engineering, North China Electric Power University, Baoding, Hebei Province, 071003, P. R. China.
Abstract
In this paper we present a common tripled fixed point theorem for W-compatible mappings under \(\phi\)-
contractive conditions in fuzzy metric spaces. The result generalizes, extends and improves several classical
and very recent related results in literature. For instance, we obtain an extension of Theorem 2.5 in [S.
Sedghi, I. Altun, N. Shobe, Nonlinear Anal., 72 (2010), 1298-1304], an refinement of Theorem 4.1 in [X.
Zhu, J. Xiao, Nonlinear Anal., 74 (2011), 5475-5479] and an improvement of Theorem 11 in [A. Roldán,
J. Martínez-Moreno, C. Roldán, Fixed Point Theory Appl., 2013 (2013), 13 pages]. Finally, an example is
given to illustrate the usability of our main result.
Share and Cite
ISRP Style
Jing-Feng Tian, Xi-Mei Hu, Hong-Shan Zhao, Common tripled fixed point theorem for W-compatible mappings in fuzzy metric spaces, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 3, 806--818
AMA Style
Tian Jing-Feng, Hu Xi-Mei, Zhao Hong-Shan, Common tripled fixed point theorem for W-compatible mappings in fuzzy metric spaces. J. Nonlinear Sci. Appl. (2016); 9(3):806--818
Chicago/Turabian Style
Tian, Jing-Feng, Hu, Xi-Mei, Zhao, Hong-Shan. "Common tripled fixed point theorem for W-compatible mappings in fuzzy metric spaces." Journal of Nonlinear Sciences and Applications, 9, no. 3 (2016): 806--818
Keywords
- Common tripled fixed point
- tripled fixed point
- fuzzy metric space
- Hadžić type t-norm.
MSC
References
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