Orthogonal m-metric spaces and an application to solve integral equations

Advances in Difference Equations

Jung Rye Lee¹  Fahim Uddin²  Muhammad Arshad²  Khalil Javed²  Choonkil Park³ 

[1] Department of Mathematics, Daejin University, 11159, Kyunggi, Korea;Department of Mathematics, International Islamic University, Islamabad, Pakistan;Research Institute for Natural Sciences, Hanyang University, 04763, Seoul, Korea;

关键词: Orthogonal set;    Orthogonally complete;    m;    m;    05C38;    15A15;    05A15;    15A18;   

DOI  :  10.1186/s13662-021-03323-x

来源: Springer

【 摘 要 】

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.

【 授权许可】

CC BY