Geodesic
Fixed point theorems for $(\alpha,\beta)-(\psi,\varphi)$-contractive mapping in b--metric spaces with some numerical results and applications
Yamaod, Oratai1 ; Sintunavarat, Wutiphol1
1 Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University Rangsit Center, Pathumthani 12121, Thailand
Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 1, p. 22-33.

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

In this paper, we introduce the concept of $(\alpha,\beta)-(\psi,\varphi)$-contractive mapping in b-metric spaces. We establish some fixed point theorems for such mappings and also give an example supporting our results. Finally, we apply our main results to prove a fixed point theorem involving a cyclic mapping.
DOI : 10.22436/jnsa.009.01.03
Classification : 47H09, 47H10
Keywords: \(b\)-metric space, cyclic \((\alpha،\beta)\)-admissible mapping, \((\alpha،\beta)-(\psi،\varphi)\)-contractive mapping.

Yamaod, Oratai 1 ; Sintunavarat, Wutiphol 1

1 Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University Rangsit Center, Pathumthani 12121, Thailand 
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Yamaod, Oratai; Sintunavarat, Wutiphol. Fixed point theorems for \((\alpha,\beta)-(\psi,\varphi)\)-contractive mapping in b--metric spaces with some numerical results and applications. Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 1, p. 22-33. doi : 10.22436/jnsa.009.01.03. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.009.01.03/

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