Research reveals convergence of a fixed-point process in Banach spaces, suggesting improved iterative methods.
This research article provides proof of convergence in Banach spaces for a new fixed-point iterative process constructed with two operators satisfying certain conditions. Additionally, the convergence rate of this iterative process is examined, and the obtained result is supported by numerical examples. Finally, the concept of data dependence is analyzed.
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Yunus Atalan (2025) studied this question.
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