Fixed points of the multifunction concerning \(F\)-contractions in partial metric spaces

Volume 9, Issue 12, pp 6396--6407 http://dx.doi.org/10.22436/jnsa.009.12.39

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Authors

Qianwen Yu - 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 prove some new fixed point theorems for multi-valued mappings under new contractions by proposing a new class of functions. The results of this paper improve several results in the literatures. And we extend the results into metric-like spaces, which expand the application range of the results.

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Keywords

• \(F\)-contraction
• fixed point
• multi-valued mappings
• partial metric space.

MSC

•  47H10
•  54H25
•  47H04

References

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