New Hybrid Contractions on b-Metric Spaces

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 28 Jun 2019 English Publisher:MDPI AGJournal:Mathematics, volume 7, page 578 (eissn: 2227-7390,

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Authors: Erdal Karapınar; Andreea Fulga;

doi: 10.3390/math7070578

New Hybrid Contractions on b-Metric Spaces

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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.

Related Organizations

Transylvania University of Brașov
Romania
China Medical University
Taiwan
China Medical University Hospital
Taiwan

Keywords

b-metric space, fixed point, hybrid contraction, metric space, QA1-939, Mathematics

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