Some Fixed Point Results in E-Metric Spaces and an Application

The purpose of this paper is to study several fixed point problems in E-metric spaces. Mainly, we show the existence and uniqueness of fixed points for two contractive mappings, including Ćirić type contraction and α-ψ type contraction in E-metric spaces. Furthermore, we provide examples to support...

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Bibliographic Details
Published in:Symmetry (Basel) 2022-10, Vol.14 (10), p.2005
Main Authors: Shi, Xinjie, Long, Pinhong, Huang, Huaping, Li, Fengjun
Format: Article
Language:English
Subjects:
Banach spaces
Differential equations
e-Cauchy sequence
E-metric space
fixed point
Fuzzy sets
Game theory
Integral equations
Logic programming
Metric space
Ordinary differential equations
Theorems
Ćirić type contraction
α-ψ type contraction
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Summary:The purpose of this paper is to study several fixed point problems in E-metric spaces. Mainly, we show the existence and uniqueness of fixed points for two contractive mappings, including Ćirić type contraction and α-ψ type contraction in E-metric spaces. Furthermore, we provide examples to support the accuracy of our results and present an application of our solution to a class of differential equations.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym14102005