Common fixed points for pairs of triangular \(\alpha\)-admissible mappings

Volume 10, Issue 12, pp 6192--6204 http://dx.doi.org/10.22436/jnsa.010.12.06

Publication Date: December 06, 2017 Submission Date: May 06, 2017

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Authors

Haitham Qawagneh - School of mathematical Sciences, Faculty of Science and Technology, University Kebangsaan Malaysia, 43600 UKM, Selangor Darul Ehsan, Malaysia. Mohd Salmi MD Noorani - School of mathematical Sciences, Faculty of Science and Technology, University Kebangsaan Malaysia, 43600 UKM, Selangor Darul Ehsan, Malaysia. Wasfi Shatanawi - Department of Mathematics and General Courses, Prince Sultan University, Riyadh, Saudi Arabia. - Department of Mathematics, Hashemite University, Zarqa, Jordan. Habes Alsamir - Department of Mathematics and General Courses, Aljouf University, Aljouf, Saudi Arabia.

Abstract

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.

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Keywords

• C-class functions
• \(\alpha\)-admissible mapping
• common fixed point
• metric spaces

MSC

•  47H09
•  47H10

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