Open AccessConvergence of Jungck-Kirk Type Iteration Method with Applications
Author(s) -
Samet Maldar,
Vatan Karakaya
Publication year - 2022
Publication title -
the punjab university journal of mathematics
Language(s) - English
Resource type - Journals
ISSN - 1016-2526
DOI - 10.52280/pujm.2022.540201
Subject(s) - convergence (economics) , type (biology) , mathematics , rate of convergence , stability (learning theory) , power iteration , fixed point iteration , computer science , iterative method , mathematical optimization , fixed point , mathematical analysis , ecology , computer network , channel (broadcasting) , machine learning , economics , biology , economic growth
The aim of this article is to define a new Jungck-Kirk type iteration method and to examine the convergence result under appropriate conditions together with other Jungck-Kirk type iteration methods in the literature. It is also to analyze whether the newly defined iteration method is stable. In addition, it has been shown through numerical examples that the new iteration method has a better convergence rate than the others. Finally, to show the validity of convergence and stability results, some examples are given. The results obtained in this paper may be interpreted as a refinement and improvement of the previously known results.