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


Authors

Ljiljana Paunović - University of Pristina-Kosovska Mitrovica, Teacher Education School in Prizren-Leposavic, 38218 Leposavic, 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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ISRP Style

Ljiljana Paunović, Preeti Kaushik, Sanjay Kumar, Some applications with new admissibility contractions in \(b\)-metric spaces, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 8, 4162--4174

AMA Style

Paunović Ljiljana, Kaushik Preeti, Kumar Sanjay, Some applications with new admissibility contractions in \(b\)-metric spaces. J. Nonlinear Sci. Appl. (2017); 10(8):4162--4174

Chicago/Turabian Style

Paunović, Ljiljana, Kaushik, Preeti, Kumar, Sanjay. "Some applications with new admissibility contractions in \(b\)-metric spaces." Journal of Nonlinear Sciences and Applications, 10, no. 8 (2017): 4162--4174


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