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Some Properties of S-metric Spaces and Fixed Point Results

  • Sedghi, Shaban (Department of Mathematics, Qaemshahr Branch, Islamic Azad University) ;
  • Altun, Ishak (Department of Mathematics, Faculty of Science and Arts, Kirikkale University) ;
  • Shobe, Nabi (Department of Mathematics, Islamic Azad University-Babol Branch) ;
  • Salahshour, Mohammad Ali (Department of Mathematics, Islamic Azad University-Savadkooh Branch)
  • Received : 2012.06.11
  • Accepted : 2013.05.05
  • Published : 2014.03.23

Abstract

In this paper, we introduce S-metric spaces and give their some properties. Also we present a common fixed point theorem for multivalued maps on complete S-metric spaces. The single valued case and an illustrative example are given.

Keywords

References

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Cited by

  1. Some applications via fixed point results in partially ordered S b $S_{b}$ -metric spaces vol.2017, pp.1, 2016, https://doi.org/10.1186/s13663-017-0603-2
  2. FIXED POINT THEOREMS IN S-METRIC SPACES vol.32, pp.5, 2016, https://doi.org/10.7858/eamj.2016.047
  3. Common Fixed Points of Continuous Mappings on S-Metric Spaces vol.104, pp.3-4, 2018, https://doi.org/10.1134/S0001434618090249
  4. Common fixed point of four maps in S-metric spaces vol.12, pp.2, 2018, https://doi.org/10.1007/s40096-018-0252-6