New Hybrid Contractions on <i>b</i>-Metric Spaces

New Hybrid Contractions on <i>b</i>-Metric Spaces

In this manuscript, we introduce the notion of <i>b</i>-hybrid contraction in the setting of <i>b</i>-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 l...

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Bibliographic Details
Main Authors: Erdal Karapınar, Andreea Fulga
Format: Article
Language:English
Published: MDPI AG 2019-06-01
Series:Mathematics
Subjects:
hybrid contraction
b-metric space
fixed point
metric space
Online Access:https://www.mdpi.com/2227-7390/7/7/578
Description
Summary:In this manuscript, we introduce the notion of <i>b</i>-hybrid contraction in the setting of <i>b</i>-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&#8217;s type stability for an application.
ISSN:2227-7390

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