Novel Iterative Approaches: Examining Stability, and Convergence
Resumen
In this paper, we propose a new iterative method for approximating fixed points of contraction
mappings. We prove a convergence theorem and evaluate its rate of convergence regarding the KF, AA,
Piri, and S∗ iterative algorithms. In addition, we present findings on stability. These findings contribute to
the ongoing development of iterative algorithms for nonlinear problems in various mathematical and applied
contexts.
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Publicado
2026-02-21
Sección
Special Issue: Non-Linear Analysis and Applied Mathematics
Derechos de autor 2026 Boletim da Sociedade Paranaense de Matemática
Esta obra está bajo licencia internacional Creative Commons Reconocimiento 4.0.
When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).
The journal utilize the Creative Common Attribution (CC-BY 4.0).
