Convergence of an inertial-type Krasnosel’skii-Mann-type iterative sequence to fixed points of nonexpansive mappings in Hilbert spaces
Abstract
Let H be a real Hilbert space and C a nonempty closed convex subset of H. Let T: C→C be a nonexpansive self mapping. We introduce a new inertial-type iterative sequence which converges to a fixed point of T. Our results are new and complement several important existing results in the literature.
Copyright © 2021 B. G. Akuchu. 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
B. G. Akuchu, Convergence of an inertial-type Krasnosel’skii-Mann-type iterative sequence to fixed points of nonexpansive mappings in Hilbert spaces, Adv. Fixed Point Theory 11 (2021), 12. https://doi.org/10.28919/afpt/5665
BibTeX
@article{Akuchu2021,
author = {Akuchu, B. G.},
title = {Convergence of an inertial-type Krasnosel’skii-Mann-type iterative sequence to fixed points of nonexpansive mappings in Hilbert spaces},
journal = {Adv. Fixed Point Theory},
volume = {11},
year = {2021},
pages = {12},
doi = {10.28919/afpt/5665}
}