Mapping nearly continuous function by Newton-like operators in Baire's space
Abstract
The paper presents a mapping ๐น๐: ๐ โ ๐, where ๐นacts on a topological space ๐ into a regular topological space ๐ that is nearly continuous. We use Newton-like operators in Baireโs space in the presence of singularities of Jacobian matrices with contributory factor of the Tikhonov regularization parameter introduced on the discontinuous system in order to enforce the homeomorphic image to be continuous under the induced closed graph theorem. Keywords: nonlinear system; Baireโs space; Newton-like methods; strange attractor.
Copyright © 2019 Stephen Ehidiamhen Uwamusi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
S. E. Uwamusi, Mapping nearly continuous function by Newton-like operators in Baire's space, Adv. Fixed Point Theory 9 (2019), 239โ252. https://doi.org/10.28919/afpt/4050
BibTeX
@article{Uwamusi2019,
author = {Uwamusi, Stephen Ehidiamhen},
title = {Mapping nearly continuous function by Newton-like operators in Baire's space},
journal = {Adv. Fixed Point Theory},
volume = {9},
year = {2019},
pages = {239--252},
doi = {10.28919/afpt/4050}
}