Contraction principles in $M_s$-metric spaces

Volume 10, Issue 2, pp 575--582 Publication Date: February 20, 2017       Article History
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Authors

N. Mlaiki - Department of Mathematical Sciences, Prince Sultan University. N. Souayah - Department of Natural Sciences, Community College, King Saud University. K. Abodayeh - Department of Mathematical Sciences, Prince Sultan University. T. Abdeljawad - Department of Mathematical Sciences, Prince Sultan University.

Abstract

In this paper, we give an interesting extension of the partial S-metric space which was introduced [N. Mlaiki, Univers. J. Math. Math. Appl., 5 (2014), 109–119] to the $M_s$-metric space. Also, we prove the existence and uniqueness of a fixed point for a self-mapping on an $M_s$-metric space under different contraction principles.

Keywords

• Functional analysis
• $M_s$-metric space
• fixed point.

•  47H10
•  54H25

References

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