Weak and strong convergence theorems for zeroes of accretive operators in Banach spaces
type: Item
instance of: scholarly article
title: Weak and strong convergence theorems for zeroes of accretive operators in Banach spaces
zbMATH Open document ID: 1404.47013
DOI: 10.1155/2014/943753
published in: Journal of Applied Mathematics
publication date: 2019-02-01T00:00:00Z
review text: Summary: 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 c 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.
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47H06
Mathematics Subject Classification ID: 47H09
Mathematics Subject Classification ID: 47J22
zbMATH DE Number: 7010801
zbMATH Keywords: weak convergence
zbMATH Keywords: zeroes of accretive operators
zbMATH Keywords: fixed points of nonexpansive mappings
zbMATH Keywords: infinite-dimensional Banach space
author: Yan-Lai Song
author: L. C. Ceng
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/943753
OpenAlex ID: W1982575309
Wikidata QID: Q59054407
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description: scientific article; zbMATH DE number 7010801