East Asian mathematical journal

  • 제32권5호
  • /
  • Pages.677-684
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  • 2016
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  • 1226-6973(pISSN)
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  • 2287-2833(eISSN)
영남수학회 (The Youngnam Mathematical Society)
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FIXED POINT THEOREMS IN S-METRIC SPACES

  • Kim, Jong Kyu (Department of mathematics Education Kyungnam University) ;
  • Sedghi, Shaban (Department of Mathematics, Qaemshahr Branch, Islamic Azad University) ;
  • Gholidahneh, A. (Department of Mathematics, Qaemshahr Branch, Islamic Azad University) ;
  • Rezaee, M. Mahdi (Department of Mathematics, Qaemshahr Branch, Islamic Azad University)
  • 투고 : 2016.03.03
  • 심사 : 2016.09.05
  • 발행 : 2016.09.30
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초록

In this paper, the notion of S-metric spaces will be introduced. We present some fixed point theorems for two maps on complete S-metric spaces and an illustrative example is given for the single-valued case. By using the similar method as in [4], a common fixed point theorem for two single-valued mappings is obtained in S-metric spaces.

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참고문헌

  1. R.P. Agarwal, M. A. El-Gebeily, D. O'regan, Generalized contractions in partially ordered metric spaces, Appl. Anal., 87(2008), 109-116. https://doi.org/10.1080/00036810701556151
  2. Lj. Ciric, D. Mihet, R. Saadati, Monotone generalized contractions in partiality ordered probabilistic metric spaces, Topology Appl., 17(2009), 2838-2844.
  3. S. Sedghi, N. Shobe, H. Zhou, A common fixed point theorem in D*-metric spaces. Fixed Point Theory Appl., 2007(2007), Article ID 7906, 13 pages
  4. S. Sedghi, N. Shobe, A. Aliouche, A generalization of fixed point theorems in S-metric spaces, Mat. Vanik, 64(2012), 258-266.
  5. J.K. Kim, S. Sedghi, N. Shobkolaei, Common Fixed Point Theorems for the R-weakly Commuting Mappings in S-metric Spaces. J.Comput. Anal. Appl., 19(2015), 751-759.
  6. S. Sedghi, NV. Dung, Fixed point theorems on S-metric spaces. Mat.Vensnik 66(2014), 113-124.
  7. S. Sedghi, I. Altun, N. Shobe, M.A. Salahshour, Some Properties of S-metric Spaces and Fixed Point Results, Kyungpook Math. J., 54(2014), 113-122. https://doi.org/10.5666/KMJ.2014.54.1.113
  8. S. Sedghi, N. Shobe, T. Dosenovic, fixed point results in S-metric spaces, Nonlinear Functional Anal. and Appl., 20(2015), 55-67.

피인용 문헌

  1. Common fixed point of four maps in S-metric spaces vol.12, pp.2, 2018, https://doi.org/10.1007/s40096-018-0252-6
  2. C*-algebra valued modular S-metric spaces with applications in fixed point theory vol.14, pp.3, 2021, https://doi.org/10.32513/tmj/19322008146