New Hybrid Contractions on b -Metric Spaces

Erdal Karapınar and Andreea Fulga
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Erdal Karapınar: Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
Andreea Fulga: Department of Mathematics and Computer Sciences, Universitatea Transilvania Brasov, 500036 Brasov, Romania

Mathematics, 2019, vol. 7, issue 7, 1-15

Abstract: In this manuscript, we introduce the notion of b -hybrid contraction in the setting of b -metric space. We investigate the existence and uniqueness of a fixed point for this contraction. Our results combine and merge several existing results in the corresponding literature and we list some of them as corollaries. Finally, we consider an Ulam’s type stability for an application.

Keywords: hybrid contraction; b-metric space; fixed point; metric space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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