TITLE:
A New Contraction in b-Metric-Like Spaces with an Application
AUTHORS:
Ju Hu, Xiaolan Liu
KEYWORDS:
w-Distance, Fixed Point, β-ζ-Contraction, b-Metric-Like Space, Differential Equation
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.13 No.5,
May
23,
2025
ABSTRACT: In this paper, via the concept of w-distance in b-metric-like space, we introduce a new contraction, called β-ζ-contraction. Furthermore, we get the existence and uniqueness of the corresponding fixed point. In addition, we also furnish several examples to demonstrate the validity and practical applicability of our findings. Finally, we utilize the derived outcomes to address problems within differential equations.