Convergence of Implicit Noor Iteration in Convex b-Metric Space

  • G. Akinbo Department of Mathematics, Obafemi Awolowo University, Ile-Ife, Nigeria
  • O. O. Fabelurin Department of Mathematics, Obafemi Awolowo University, Ile-Ife, Nigeria
Keywords: Implicit Noor Iteration, Convex b-Metric Space, Convergence, Convexity

Abstract

The convergence to a fixed point and stability of the implicit Noor iteration in a convex b-metric
space is established in this work. The class of mappings considered here is an extension of a
class of weak contractions which has been used by several authors to obtain quite interesting
results on the existence of unique fixed points as well as convergence and stability of iterative
schemes in the literature.

Published
2025-03-20
How to Cite
Akinbo, G., & Fabelurin, O. O. (2025). Convergence of Implicit Noor Iteration in Convex b-Metric Space. International Journal of Mathematical Sciences and Optimization: Theory and Applications, 11(1), 89-95. Retrieved from http://ijmso.unilag.edu.ng/article/view/2460
Issue
Vol 11 No 1 (2025)
Section
Articles

Copyright (c) 2025 Author

Creative Commons License

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

This is an Open Access article distributed under the terms of the Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, adaptation, and reproduction in any medium, provided that the original work is properly cited.