Bazı sabit nokta yineleme yöntemlerinin yakınsama davranışlarının incelenmesi

Year 2017, Volume: 21 Issue: 3, 540 - 544, 01.06.2017

Faik Gürsoy

https://doi.org/10.16984/saufenbilder.278071

Abstract

Bazı sabit nokta yineleme yöntemlerinin, belirli bir büzülme şartını sağlayan operatörlerin sınıfından seçilen
elemanların karakterlerine bağlı olarak farklı yakınsama davranışları sergiledikleri nümerik bir örnek verilerek
gösterilecektir.

Keywords

konveks ve hiperbolik metrik uzaylar, yakınsaklık, yineleme metotları

Investigation of convergency behaviors of some fixed point iteration methods

Abstract

It will be shown by providing a numerical example that some fixed point iteration methods exhibit different
convergency behaviors depending on the characters of the members chosen from a class of operators satisfying a
certain contractive condition.

Keywords

convex and hyperbolic metric spaces, convergence, iteration methods

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