Open AccessConvergence and Stability of New Approximation Algorithms for Certain Contractive-Type Mappings
Author(s) -
Imo Kalu Agwu,
Donatus Ikechi Igbokwe
Publication year - 2021
Publication title -
european journal of mathematical analysis
Language(s) - English
Resource type - Journals
ISSN - 2733-3957
DOI - 10.28924/ada/ma.2.1
Subject(s) - convergence (economics) , complement (music) , stability (learning theory) , scheme (mathematics) , type (biology) , mathematics , algorithm , iterative method , mathematical optimization , fixed point , computer science , mathematical analysis , chemistry , machine learning , complementation , biology , economics , gene , phenotype , economic growth , ecology , biochemistry
We present new fixed points algorithms called multistep H-iterative scheme and multistep SH-iterative scheme. Under certain contractive-type condition, convergence and stability results were established without any imposition of the ’sum conditions’, which to a large extent make some existing iterative schemes so far studied by other authors in this direction practically inefficient. Our results complement and improve some recent results in literature.