Open AccessThe Convergence of Iterative Methods for Quasi δ-Contraction Mappings
Author(s) -
Ali Qasem Thajil,
Zena Hussein Maibed
Publication year - 2021
Publication title -
journal of physics: conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
ISSN - 1742-6588
DOI - 10.1088/1742-6596/1804/1/012017
Subject(s) - contraction (grammar) , contraction mapping , convergence (economics) , fixed point iteration , rate of convergence , mathematics , power iteration , iterative method , computer science , fixed point , mathematical optimization , algorithm , mathematical analysis , telecommunications , medicine , channel (broadcasting) , economics , economic growth
In this article, we will present a quasi-contraction mapping approach for D iteration, and we will prove that this iteration with modified SP iteration has the same convergence rate. At the other hand, we prove that the D iteration approach for quasi-contraction maps is faster than certain current leading iteration methods such as, Mann and Ishikawa. We are giving a numerical example, too.