Yeni Bir İterasyon Yöntemi İçin Hemen-Hemen Büzülme Dönüşümleri Altında Bazı Sabit Nokta Teoremleri

Abstract

Bu makalede (1.1) ile verilen iterasyon yönteminden daha sade olan yeni bir iterasyon yöntemi tanımlanmıştır. Bu iterasyon

yönteminin hemen hemen büzülme dönüşümü şartını sağlayan iki operatörün ortak sabit noktasına yakınsak olduğu ispatlanmıştır.

Ayrıca yeni iterasyon yönteminin (1.1) ile verilen iterasyon yönteminden daha hızlı olduğu gösterilmiştir ve bu sonucu destekleyen

bir tablo ile grafik verilmiştir. Son olarak, hemen hemen büzülme dönüşümü şartını sağlayan iki operatör için yeni tanımlanan

iterasyon kullanılarak veri bağlılığı sonucu elde edilmiştir.

Keywords

• Yeni iterasyon yöntemi,Hemen hemen büzülme dönüşümleri,Yakınsaklık hızı,Veri bağlılığı

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