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FIXED POINT THEOREMS IN S-METRIC SPACES

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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.

Abstract

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.

참고문헌 (8)

  1. R.P. Agarwal, "Generalized contractions in partially ordered metric spaces", Appl. Anal., 87, pp.109~116 (2008)
  2. Lj. Ciric, "Monotone generalized contractions in partiality ordered probabilistic metric spaces", Topology Appl., 17, pp.2838~2844 (2009)
  3. S. Sedghi, "A common fixed point theorem in D*-metric spaces", Fixed Point Theory Appl., 2007, pp.13~ (2007)
  4. S. Sedghi, "A generalization of fixed point theorems in S-metric spaces", Mat. Vanik, 64, pp.258~266 (2012)
  5. J.K. Kim, "Common Fixed Point Theorems for the R-weakly Commuting Mappings in S-metric Spaces", J.Comput. Anal. Appl., 19, pp.751~759 (2015)
  6. S. Sedghi, "Fixed point theorems on S-metric spaces", Mat.Vensnik, 66, pp.113~124 (2014)
  7. Shaban Sedghi, "Some Properties of S-metric Spaces and Fixed Point Results", Kyungpook Mathematical Journal, 54(1), pp.113~122 (2014), 경북대학교 자연과학대학 수학과[DOI]
  8. S. Sedghi, "fixed point results in S-metric spaces", Nonlinear Functional Anal. and Appl., 20, pp.55~67 (2015)

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