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Orthogonal m-metric spaces and an application to solve integral equationsopen access

Authors
Uddin, FahimPark, ChoonkilJaved, KhalilArshad, MuhammadLee, Jung Rye
Issue Date
Mar-2021
Publisher
SPRINGER
Keywords
Orthogonal set; Orthogonally complete; m-metric; Orthogonal m-metric
Citation
ADVANCES IN DIFFERENCE EQUATIONS, v.2021, no.1, pp.1 - 15
Indexed
SCIE
SCOPUS
Journal Title
ADVANCES IN DIFFERENCE EQUATIONS
Volume
2021
Number
1
Start Page
1
End Page
15
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/142200
DOI
10.1186/s13662-021-03323-x
ISSN
1687-1839
Abstract
In this article, we introduce the concept of orthogonal m-metric space and prove some fixed point theorems in this space. Furthermore, we obtain results that extend and improve certain comparable results in the existing literature. Eventually, our results lead us to the existence and uniqueness of solutions for Fredholm integral equations.
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