Murali A, Muthunagai K
Vellore Institute of Technology, Chennai, India.
Sci Rep. 2024 Sep 30;14(1):22712. doi: 10.1038/s41598-024-73261-7.
This paper introduces a novel fast iterative process designed for approximating fixed points of contraction and weak contraction mappings. The study presents strong convergence results for this newly proposed iterative process, and proving its efficiency. Analytical and numerical evidences are provided to establish that the proposed iterative method converges more rapidly than several existing processes. Furthermore, stability results and dependence analysis are presented for the newly developed iterative process, enhancing its practical applicability and robustness.
本文介绍了一种新颖的快速迭代过程，该过程旨在逼近压缩映射和弱压缩映射的不动点。该研究给出了这个新提出的迭代过程的强收敛结果，并证明了其有效性。提供了分析和数值证据，以证实所提出的迭代方法比几种现有方法收敛得更快。此外，还给出了新开发的迭代过程的稳定性结果和依赖性分析，增强了其实际适用性和鲁棒性。
