# New fixed point theorem for $\varphi$-contractions in KM-fuzzy metric spaces

Volume 9, Issue 12, pp 6204--6209
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### Authors

Jiaming Jin - Department of Mathematics, Nanchang University, Nanchang, 330031, P. R. China. Chuanxi Zhu - Department of Mathematics, Nanchang University, Nanchang, 330031, P. R. China. Haochen Wu - Department of Mathematics, Nanchang University, Nanchang, 330031, P. R. China.

### Abstract

In this paper, by modifying the class of gauge functions $\Phi_w$ and $\Phi_{w^*}$ , a new fixed point theorem for $\varphi$-contractions in KM-fuzzy metric spaces with a t-norm of H-type is established. We also give an example to illustrate the validity of our main results.

### Share and Cite

##### ISRP Style

Jiaming Jin, Chuanxi Zhu, Haochen Wu, New fixed point theorem for $\varphi$-contractions in KM-fuzzy metric spaces, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 12, 6204--6209

##### AMA Style

Jin Jiaming, Zhu Chuanxi, Wu Haochen, New fixed point theorem for $\varphi$-contractions in KM-fuzzy metric spaces. J. Nonlinear Sci. Appl. (2016); 9(12):6204--6209

##### Chicago/Turabian Style

Jin, Jiaming, Zhu, Chuanxi, Wu, Haochen. "New fixed point theorem for $\varphi$-contractions in KM-fuzzy metric spaces." Journal of Nonlinear Sciences and Applications, 9, no. 12 (2016): 6204--6209

### Keywords

• Fixed point
• Menger probabilistic metric space
• H-type
• $\varphi$-contraction.

•  47H10
•  47H09

### References

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