Some New Results for (<i>α</i>, <i>β</i>)-Admissible Mappings in 𝔽-Metric Spaces with Applications to Integral Equations

Abstract

In this paper, we consider and extend some fixed point results in F-complete F-metric spaces by relaxing the symmetry of complete metric spaces. We generalize α,β-admissible mappings in the setting of F-metric spaces. The derived results are supplemented with suitable examples, and the obtained results are applied to find the existence of the solution to the integral equation. The analytical results are compared through numerical simulation. We pose certain open problems for extending and applying our results in the future.

Keywords

• (<i>α</i>, <i>β</i>)-admissible mapping
• ?-complete
• fixed point
• ?-metric space