Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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SOME FIXED-POINT RESULTS ON PARAMETRIC Nb-METRIC SPACES

  • Received : 2017.07.14
  • Accepted : 2017.12.21
  • Published : 2018.07.31
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Abstract

Our aim is to introduce the notion of a parametric $N_b-metric$ and study some basic properties of parametric $N_b-metric$ spaces. We give some fixed-point results on a complete parametric $N_b-metric$ space. Some illustrative examples are given to show that our results are valid as the generalizations of some known fixed-point results. As an application of this new theory, we prove a fixed-circle theorem on a parametric $N_b-metric$ space.

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References

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