Convergence theorems for accretive operators with nonlinear mappings in Banach spaces
type: Item
instance of: scholarly article
title: Convergence theorems for accretive operators with nonlinear mappings in Banach spaces
zbMATH Open document ID: 1473.47041
DOI: 10.1155/2014/928950
author: Yan-Lai Song
author: L. C. Ceng
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
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 fixed points of strict pseudocontractions in infinite-dimensional Banach spaces. Under mild conditions, some weak and strong convergence theorems for approximating these common elements are proved. The methods in the paper are novel and different from those in the early and recent literature. Further, we consider the problem of finding a common element of the set of solutions of a mathematical model related to equilibrium problems and the set of fixed points of a strict pseudocontractions.
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47J22
Mathematics Subject Classification ID: 47H09
zbMATH DE Number: 7023331
zbMATH Keywords: forward-backward splitting schemes
zbMATH Keywords: accretive operators
zbMATH Keywords: strict pseudocontractions
zbMATH Keywords: Banach spaces
zbMATH Keywords: weak convergence
zbMATH Keywords: strong convergence
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/928950
OpenAlex ID: W2081113771
Wikidata QID: Q59042904
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description: scientific article; zbMATH DE number 7023331