Open Access
Translator Disclaimer
2014 Weak and Strong Convergence Theorems for Zeroes of Accretive Operators in Banach Spaces
Yanlai Song, Luchuan Ceng
J. Appl. Math. 2014: 1-11 (2014). DOI: 10.1155/2014/943753

Abstract

The purpose of this paper is to present two new forward-backward splitting schemes with relaxations and errors for finding a common element of the set of solutions to the variational inclusion problem with two accretive operators and the set of fixed points of nonexpansive mappings in infinite-dimensional Banach spaces. Under mild conditions, some weak and strong convergence theorems for approximating this common elements are proved. The methods in the paper are novel and different from those in the early and recent literature. Our results can be viewed as the improvement, supplementation, development, and extension of the corresponding results in the very recent literature.

Citation

Download Citation

Yanlai Song. Luchuan Ceng. "Weak and Strong Convergence Theorems for Zeroes of Accretive Operators in Banach Spaces." J. Appl. Math. 2014 1 - 11, 2014. https://doi.org/10.1155/2014/943753

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 1404.47013
MathSciNet: MR3182381
Digital Object Identifier: 10.1155/2014/943753

Rights: Copyright © 2014 Hindawi

JOURNAL ARTICLE
11 PAGES


SHARE
Vol.2014 • 2014
Back to Top