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http://dx.doi.org/10.4134/CKMS.c170294

SOME FIXED-POINT RESULTS ON PARAMETRIC Nb-METRIC SPACES  

Tas, Nihal (Department of Mathematics Balikesir University)
Ozgur, Nihal Yilmaz (Department of Mathematics Balikesir University)
Publication Information
Communications of the Korean Mathematical Society / v.33, no.3, 2018 , pp. 943-960 More about this Journal
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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