Some applications with new admissibility contractions in \(b\)-metric spaces


Authors

Ljiljana Paunović - University of Priˇstina-Kosovska Mitrovica, Teacher Education School in Prizren-Leposavi´c, 38218 Leposavi´c, Serbia.
Preeti Kaushik - Department of Mathematics, DCRUST, Murthal, Sonepat 131039, India.
Sanjay Kumar - Department of Mathematics, DCRUST, Murthal, Sonepat 131039, India.


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.


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