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

Mohammed Sani Mashina
2016 International Journal of Advanced Research in Mathematics  
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
more » ... nto the settings of S-metric space.
doi:10.18052/www.scipress.com/ijarm.5.1 fatcat:37hvkoeo5za6vikdn7gyswi3ny