New fixed point theorem for \(\varphi\)-contractions in KM-fuzzy metric spaces

Volume 9, Issue 12, pp 6204--6209 http://dx.doi.org/10.22436/jnsa.009.12.25

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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.

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Keywords

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

MSC

•  47H10
•  47H09

References

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