Common Fixed-Points in Extended b2 Metric Spaces via Comparison Functions

Authors

  • Hajer S. Elbadri Department of Mathematics, Faculty of Education, University of Benghazi, Libya Author
  • Abdelhamid. S. Elmabrouk Department of Mathematics, Faculty of Science, University of Benghazi, Libya Author

Keywords:

Fixed point, Common fixed points, Extended b2-metric space, α-ψ-contractive mappings, Comparison functions

Abstract

This paper investigates the existence and uniqueness of fixed points and common fixed points for self-mappings in complete extended b2-metric spaces. We generalize the results of Samet et al. by introducing -contractive mappings in the setting of extended b2-metric spaces. We establish several fixed point theorems for single mappings, pairs of mappings, and families of self-mappings. Our results extend and unify recent results in the literature on extended b-metric spaces and b2-metric spaces. Examples are provided to illustrate the obtained results.

Downloads

Published

2026-07-10

Issue

Volume 4, Issue 3, 2026

Section

Applied Sciences Theme

License

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Hajer S. Elbadri, & Abdelhamid. S. Elmabrouk. (2026). Common Fixed-Points in Extended b2 Metric Spaces via Comparison Functions. Afro-Asian Journal of Scientific Research (AAJSR), 4(3), 12-20. https://aajsr.com/index.php/aajsr/article/view/956