Geodesic
Some applications with new admissibility contractions in $b$-metric spaces
Paunović, Ljiljana1 ; Kaushik, Preeti2 ; Kumar, Sanjay2
1 University of Pristina-Kosovska Mitrovica, Teacher Education School in Prizren-Leposavic, 38218 Leposavic, Serbia
2 Department of Mathematics, DCRUST, Murthal, Sonepat 131039, India
Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 8, p. 4162-4174.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.010.08.12
Classification : 47H10, 54H25
Keywords: \(\alpha-\beta(b)\)-admissible mappings, fixed point, \(b\)-metric space, stability.

Paunović, Ljiljana 1 ; Kaushik, Preeti 2 ; Kumar, Sanjay 2

1 University of Pristina-Kosovska Mitrovica, Teacher Education School in Prizren-Leposavic, 38218 Leposavic, Serbia
2 Department of Mathematics, DCRUST, Murthal, Sonepat 131039, India 
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Paunović, Ljiljana; Kaushik, Preeti; Kumar, Sanjay. Some applications with new admissibility contractions in \(b\)-metric spaces. Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 8, p. 4162-4174. doi : 10.22436/jnsa.010.08.12. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.010.08.12/

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