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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:
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:
Jun 2016
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