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SOME FIXED-POINT RESULTS ON PARAMETRIC Nb-METRIC SPACES

  • Tas, Nihal (Department of Mathematics Balikesir University) ;
  • Ozgur, Nihal Yilmaz (Department of Mathematics Balikesir University)
  • Received : 2017.07.14
  • Accepted : 2017.12.21
  • Published : 2018.07.31

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.

Keywords

parametric $N_b-metric$;${\acute{C}}iri{\acute{c}}^{\prime}s$ fixed-point result;Kannan's fixed-point result;Chatterjea's fixed-point result;expansive mapping;fixed circle

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