Some new fixed point theorems in generalized probabilistic metric spaces

Volume 9, Issue 6, pp 3735--3743 http://dx.doi.org/10.22436/jnsa.009.06.24

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Authors

Cuiru Ji - Department of Mathematics, Nanchang University, Nanchang, 330031, P. R. China. Chuanxi Zhu - Department of Mathematics, Nanchang University, Nanchang, 330031, P. R. China. Zhaoqi Wu - Department of Mathematics, Nanchang University, Nanchang, 330031, P. R. China.

Abstract

In this paper, we introduced the notion of \(\alpha-\psi\)-type contractive mapping in PGM-spaces and established some new fixed point theorems in complete PGM-spaces. Finally, an example is given to support our main results.

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Keywords

• PGM-space
• \(\alpha-\psi\)-type contractive mapping
• \(\phi\)-function
• fixed point.

MSC

•  47H10
•  47H09

References

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