Geodesic
Common tripled fixed point theorem for W-compatible mappings in fuzzy metric spaces
Tian, Jing-Feng1 ; Hu, Xi-Mei2 ; Zhao, Hong-Shan3
1 College of Science and Technology, North China Electric Power University, Baoding, Hebei Province, 071051, P. R. China
2 China Mobile Group Hebei Co., Ltd., Baoding, Hebei Province, 071000, P. R. China
3 School of Electrical and Electronic Engineering, North China Electric Power University, Baoding, Hebei Province, 071003, P. R. China
Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 3, p. 806-818.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.009.03.09
Classification : 47H10
Keywords: Common tripled fixed point, tripled fixed point, fuzzy metric space, Hadžić type t-norm.

Tian, Jing-Feng 1 ; Hu, Xi-Mei 2 ; Zhao, Hong-Shan 3

1 College of Science and Technology, North China Electric Power University, Baoding, Hebei Province, 071051, P. R. China
2 China Mobile Group Hebei Co., Ltd., Baoding, Hebei Province, 071000, P. R. China
3 School of Electrical and Electronic Engineering, North China Electric Power University, Baoding, Hebei Province, 071003, P. R. China 
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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 its applications, Tome 9 (2016) no. 3, p. 806-818. doi : 10.22436/jnsa.009.03.09. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.009.03.09/

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