Orthogonal m-metric spaces and an application to solve integral equationsopen access
- Authors
- Uddin, Fahim; Park, Choonkil; Javed, Khalil; Arshad, Muhammad; Lee, 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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