Geodesic
Common fixed points for pairs of triangular $\alpha$-admissible mappings
Qawagneh, Haitham 1 ; MD Noorani, Mohd Salmi 1 ; Shatanawi, Wasfi 2 ; Alsamir, Habes 3
1 School of mathematical Sciences, Faculty of Science and Technology, University Kebangsaan Malaysia, 43600 UKM, Selangor Darul Ehsan, Malaysia
2 Department of Mathematics and General Courses, Prince Sultan University, Riyadh, Saudi Arabia;Department of Mathematics, Hashemite University, Zarqa, Jordan
3 Department of Mathematics and General Courses, Aljouf University, Aljouf, Saudi Arabia
Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 12, p. 6192-6204.

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

In this paper, we introduce the notation of $(\alpha-\eta)-(\psi-\varphi)$-contraction mappings defined on a set $X$. We prove the existence of common fixed point results for the pair of self-mappings involving C-class functions in the setting of metric space. Our results generalize and extend several works existing in literature. We provide an example and some applications in order to support our results.
DOI : 10.22436/jnsa.010.12.06
Classification : 47H09, 47H10
Keywords: C-class functions, \(\alpha\)-admissible mapping, common fixed point, metric spaces

Qawagneh, Haitham  1 ; MD Noorani, Mohd Salmi  1 ; Shatanawi, Wasfi  2 ; Alsamir, Habes  3

1 School of mathematical Sciences, Faculty of Science and Technology, University Kebangsaan Malaysia, 43600 UKM, Selangor Darul Ehsan, Malaysia
2 Department of Mathematics and General Courses, Prince Sultan University, Riyadh, Saudi Arabia;Department of Mathematics, Hashemite University, Zarqa, Jordan
3 Department of Mathematics and General Courses, Aljouf University, Aljouf, Saudi Arabia 
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Qawagneh, Haitham ; MD Noorani, Mohd Salmi ; Shatanawi, Wasfi ; Alsamir, Habes . Common fixed points for pairs of triangular \(\alpha\)-admissible mappings. Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 12, p. 6192-6204. doi : 10.22436/jnsa.010.12.06. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.010.12.06/

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