A new monotone hybrid algorithm for a convex feasibiliy problem for an infinite family of nonexpansive-type maps, with applications
Abstract
Let C be a nonempty closed and convex subset of a uniformly smooth and uniformly convex real Banach space E with dual space E ∗ . A new monotone hybrid method for finding a common element for a family of a general class of nonlinear nonexpansive maps is constructed and, the sequence of the method is proved to converge strongly to a common element of the family. Finally, application of this theorem complements, generalizes and extends some recent important results.
Copyright © 2017 Charles E. Chidume, Emmanuel E. Otubo, Chinedu G. Ezea, Markjoe O. Uba. 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
C. E. Chidume, E. E. Otubo, C. G. Ezea, M. O. Uba, A new monotone hybrid algorithm for a convex feasibiliy problem for an infinite family of nonexpansive-type maps, with applications, Adv. Fixed Point Theory 7 (2017), 413–431.
BibTeX
@article{Chidume2017,
author = {Chidume, Charles E. and Otubo, Emmanuel E. and Ezea, Chinedu G. and Uba, Markjoe O.},
title = {A new monotone hybrid algorithm for a convex feasibiliy problem for an infinite family of nonexpansive-type maps, with applications},
journal = {Adv. Fixed Point Theory},
volume = {7},
year = {2017},
pages = {413--431},
doi = {}
}