A coincident point principle for two weakly compatible mappings in partial S-metric spaces

Volume 9, Issue 5, pp 2217--2223 http://dx.doi.org/10.22436/jnsa.009.05.25

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Authors

Nizar Souayah - Department of Natural Sciences, Community College of Riyadh, King Saud University, Riyadh, Saudi Arabia. Nabil Mlaiki - Department of General Sciences, Prince Sultan University, Riyadh, Saudi Arabia.

Abstract

We show the existence of common fixed point and a coincident point for two weakly compatible self- mappings defined on a complete partial S-metric space X, where the contraction in the assumption of the main result has three control functions, \(\alpha,\psi,\phi\).

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Keywords

• Functional analysis
• partial S-metric space
• common fixed point.

MSC

•  54H25
•  47H10

References

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