Some fixed point theorems in regular modular metric spaces and application to Caratheodory’s type anti-periodic boundary value problem

Autor: Sanatee, Ali Ganjbakhsh, Rathour, Laxmi, Mishra, Vishnu Narayan, Dewangan, Vinita
Zdroj: The Journal of Analysis; March 2023, Vol. 31 Issue: 1 p619-632, 14p
Abstrakt: In this paper, we define the concepts of ϕ-contraction and point-wise Φ-contraction in modular metric space. Next we give some conditions that guarantee the existence and uniqueness of fixed points of self-mappings in modular metric spaces. Finally we give an application to Caratheodory’s type anti-periodic boundary value problem.
Databáze: Supplemental Index