# Some applications with new admissibility contractions in $b$-metric spaces

Volume 10, Issue 8, pp 4162--4174

Publication Date: 2017-08-11

http://dx.doi.org/10.22436/jnsa.010.08.12

L. Paunović
P. Kaushik
S. Kumar

### Abstract

The work presented in this paper extends the idea of $\alpha-\beta$-contractive mappings in the framework of $b$-metric spaces. Fixed points are investigated for such kind of mappings. An example is given to show the superiority of our results. As applications we discuss Ulam-Hyres stability, well-posedness and limit shadowing of fixed point problem.