Viscosity methods for inclusion and fixed-point problems
Abstract
We are concerned with a variational inclusion problem with two monotone mappings, and fixed-point problems of asymptotically nonexpansive mappings and pseudocontractive mappings. A viscosity method is introduced and studied for the two problems. A convergence theorem in norm of common solutions is established in the setting of infinite dimensional real Hilbert spaces.
Copyright © 2020 Sun Young Cho. 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. Y. Cho, Viscosity methods for inclusion and fixed-point problems, J. Math. Comput. Sci. 10 (2020), 1755–1769. https://doi.org/10.28919/jmcs/4322
BibTeX
@article{Cho2020,
author = {Cho, Sun Young},
title = {Viscosity methods for inclusion and fixed-point problems},
journal = {J. Math. Comput. Sci.},
volume = {10},
year = {2020},
pages = {1755--1769},
doi = {10.28919/jmcs/4322}
}