Fixed point theorems for \((\alpha,\beta)-(\psi,\varphi)\)-contractive mapping in b--metric spaces with some numerical results and applications

Volume 9, Issue 1, pp 22--33 http://dx.doi.org/10.22436/jnsa.009.01.03

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Authors

Oratai Yamaod - Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University Rangsit Center, Pathumthani 12121, Thailand. Wutiphol Sintunavarat - Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University Rangsit Center, Pathumthani 12121, Thailand.

Abstract

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.

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Keywords

• \(b\)-metric space
• cyclic \((\alpha،\beta)\)-admissible mapping
• \((\alpha،\beta)-(\psi،\varphi)\)-contractive mapping.

MSC

•  47H09
•  47H10

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