Some applications with new admissibility contractions in \(b\)-metric spaces
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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
Keywords
- \(\alpha-\beta(b)\)-admissible mappings
- fixed point
- \(b\)-metric space
- stability.
MSC
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