Korean J. Math. Vol. 28 No. 2 (2020) pp.169-189
DOI: https://doi.org/10.11568/kjm.2020.28.2.169

A Common fixed point theorem on ordered partial $S$-metric spaces and applications

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Published: Jun 30, 2020
Keywords:
Fixed point, partial S-metric space, integral equation
Mathematics Subject Classification:
54H25, 47H10

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Sima Soursouri
Department of Mathematics, Science and Research Branch Islamic Azad University, Tehran, Iran
Nabi Shobkolaei
Department of Mathematics, Babol Branch, Islamic Azad University, Babol, Iran
Shaban Sedghi
Department of Mathematics, Qaemshahr Branch Islamic Azad University, Qaemshahr, Iran
Ishak Altun
Department of Mathematics, Faculty of Science and Arts Kirikkale University, 71450 Yahsihan, Kirikkale, Turkey

Abstract

A common fixed point result for weakly increasing mappings satisfying generalized contractive type in ordered partial $S$-metric spaces are derived. Also as an application of our results we consider a couple integral equations.to guarantee the existence of a common solution.


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References

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