Author/Authors :
Tian ، Jing-Feng - North China Electric Power University , Hu ، Xi-Mei China Mobile Group Hebei Company , Zhao ، Hong-Shan - North China Electric Power University
Abstract :
In this paper we present a common tripled fixed point theorem for Wcompatible mappings under Φ- 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), 12981304], an refinement of Theorem 4.1 in [X. Zhu, J. Xiao, Nonlinear Anal., 74 (2011), 54755479] and an improvement of Theorem 11 in [A. Roldan, J. Martnez-Moreno, C. Roldan, Fixed Point Theory Appl., 2013 (2013), 13 pages]. Finally, an example is given to illustrate the usability of our main result.
Keywords :
Common tripled fixed point , tripled fixed point , fuzzy metric space , Hadiziic type t , norm