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http://dx.doi.org/10.22771/nfaa.2022.27.02.02

DISCUSSION ON b-METRIC SPACES AND RELATED RESULTS IN METRIC AND G-METRIC SPACES  

Bataihah, Anwar (Ministry of Education)
Qawasmeh, Tariq (Department of Mathematics, Faculty of Science and Information Technology Jadara University)
Shatnawi, Mutaz (Ministry of Education)
Publication Information
Nonlinear Functional Analysis and Applications / v.27, no.2, 2022 , pp. 233-247 More about this Journal
Abstract
In the present manuscript, we employ the concepts of Θ-map and Φ-map to define a strong (𝜃, 𝜙)s-contraction of a map f in a b-metric space (M, db). Then we prove and derive many fixed point theorems as well as we provide an example to support our main result. Moreover, we utilize our results to obtain many results in the settings of metric and G-metric spaces. Our results improve and modify many results in the literature.
Keywords
b-metric; fixed point; Picard iteration; metric space;
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