Results of Convergence, Stability, and Data Dependency for an Iterative Algorithm

Year 2024, Issue: 48, 99 - 112, 30.09.2024

Ayşegül Keten Çopur

https://doi.org/10.53570/jnt.1537928

Abstract

In this study, we reconstruct an existing result related to the strong convergence of a recently introduced iterative algorithm by removing certain restrictions on the coefficient sequences. We then obtain some new results on the stability and data dependency of this algorithm. To validate our results, we provide a series of nontrivial complex examples, demonstrating the significance and accuracy of our theoretical contributions.

Keywords

Data dependency, fixed point, iterative algorithm, stability, strong convergence

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