Daha Hızlı Mann Sabit Nokta Yinelemesi Üzerine Bir Çalışma

Bu çalışmada, Mann yineleme yönteminden daha hızlı olan Mann tipinde bir yinelemetanımlanmış ve bu yineleme yönteminin Banach uzaylarında hemen hemen büzülme dönüşümleriiçin sabit noktaya yakınsadığı gösterilmiştir. Ayrıca düzenlenmiş Mann yineleme yöntemininliteratürdeki diğer sabit nokta yineleme yöntemlerine yakınsaklık denklikleri ispatlanmıştır. Sonolarak, Mann tipindeki yineleme yönteminin, klasik Mann yineleme yönteminden daha hızlıolduğu gösterilmiştir.

A Study On Faster Mann Iterative Method

In this study, we introduce a Mann-type iterative method converges faster than Mann iterative method which is shown strong convergence to fixed point for almost contraction mappings in Banach spaces. Also, we prove that the strong convergences of them are equal. Finally, it is shown that the Mann-type iterative process is faster than the classical Mann iterative process.

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