Convergence and stability results for Ishikawa iterative scheme in convex p-metric spaces
Abstract
In this paper, we introduce the concept of convex p−metric space as a generalization of convex metric space, and we prove convergence and stability results of Ishikawa type, and Picard hybrid iterative sequence for quasi- contractive operator in the setting convex p−metric space. As a result of our analysis, the Picard and Mann schemes emerge as corollaries. An example is given to verify the main results.
Copyright © 2025 C. Iluno, H. Akewe. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
C. Iluno, H. Akewe, Convergence and stability results for Ishikawa iterative scheme in convex p-metric spaces, J. Math. Comput. Sci. 15 (2025), 13. https://doi.org/10.28919/jmcs/9448
BibTeX
@article{Iluno2025,
author = {Iluno, C. and Akewe, H.},
title = {Convergence and stability results for Ishikawa iterative scheme in convex p-metric spaces},
journal = {J. Math. Comput. Sci.},
volume = {15},
year = {2025},
pages = {13},
doi = {10.28919/jmcs/9448}
}