Open AccessOn The Convergence Speediness of K * and D-Iterations
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
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1897/1/012056
Subject(s) - fixed point iteration , power iteration , convergence (economics) , contraction (grammar) , process (computing) , fixed point , mathematics , contraction mapping , iterative and incremental development , computer science , iterative method , algorithm , mathematical optimization , mathematical analysis , medicine , software engineering , economics , economic growth , operating system
In this article, we introduced a new concept of mappings called δZA - Quasi contractive mapping and we study the K*- iteration process for approximation of fixed points, and we proved that this iteration process is faster than the existing leading iteration processes like Noor iteration process, CR -iteration process, SP and Karahan Two- step iteration process for − quasi contraction mappings. We supported our analytic proof by a numerical example.