A Tripled Fixed Point Theorem in Partially Ordered Complete S-Metric Space

Sani Mashina, Mohammed

doi:10.18052/www.scipress.com/IJARM.5.1

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A Tripled Fixed Point Theorem in Partially Ordered Complete S-Metric Space

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Abstract:

Sedghi et al. (Mat. Vesn. 64(3):258-266, 2012) introduced the notion of an S-metric as a generalized metric in 3-tuples S:X³→[0,∞), where X is a nonempty set. In this paper we prove a tripled fixed point theorem for mapping having the mixed monotone property in partially ordered S-metric space. Our result generalize the result of Savitri and Nawneet Hooda (Int. J. Pure Appl. Sci. Technol. 20(1):111-116, 2014, On tripled fixed point theorem in partially ordered metric space) into the settings of S-metric space.

Info:

Periodical:

International Journal of Advanced Research in Mathematics (Volume 5)

Pages:

1-7

DOI:

https://doi.org/10.18052/www.scipress.com/IJARM.5.1

Citation:

M. Sani Mashina, "A Tripled Fixed Point Theorem in Partially Ordered Complete S-Metric Space", International Journal of Advanced Research in Mathematics, Vol. 5, pp. 1-7, 2016

Online since:

June 2016

Authors:

Mohammed Sani Mashina

Keywords:

Complete S-Metric Space, Mixed Monotone Property, Partially Ordered Set, Tripled Fixed Point

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Open Access

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Creative Commons Attribution 4.0 International License

References:

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