A New Iterative Process Based on Almost Contraction Operators

Year 2025, Volume: 8 Issue: 3, 161 - 168, 30.09.2025

Yunus Atalan

https://doi.org/10.33401/fujma.1478028

Abstract

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.

Keywords

Fixed point , Iterative process , Convergence , Data dependence

References

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