Fixed point theorems for convex contractions in extended b2-metric spaces

Authors

  • Salih. A. Amrajaa Department of Mathematics, Faculty of Science, University of Benghazi, Al Marj, Libya Author
  • Abdelhamid. S. Elmabrouk Department of Mathematics, Faculty of Science, University of Benghazi, Libya Author

Keywords:

Extended b_2-Metric Space, convex contraction, Čirić-type contraction, fixed point, orbital continuity

Abstract

This paper investigates various types of convex contractions within the framework of extended -metric spaces. We establish conditions for the existence and uniqueness of fixed points for mappings exhibiting second-order convexity, bilateral convexity, and Čirić-type convexity. The study generalizes classical fixed point theorems by relaxing the triangle inequality through a controlled functional . Several fixed point theorems are proved under orbital continuity and suitable boundedness conditions on . A complete illustrative example is provided.

Downloads

Published

2026-06-25

Issue

Volume 4, No. 2, 2025

Section

Applied Sciences Theme

License

Creative Commons License

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

How to Cite

Salih. A. Amrajaa, & Abdelhamid. S. Elmabrouk. (2026). Fixed point theorems for convex contractions in extended b2-metric spaces . Afro-Asian Journal of Scientific Research (AAJSR), 4(2), 331-336. https://aajsr.com/index.php/aajsr/article/view/950