Stable perturbed iterative algorithms for solving new general systems of nonlinear generalized variational inclusion in Banach spaces
type: Item
instance of: scholarly article
title: Stable perturbed iterative algorithms for solving new general systems of nonlinear generalized variational inclusion in Banach spaces
zbMATH Open document ID: 1474.65159
DOI: 10.1155/2014/659870
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We introduce and study a new general system of nonlinear variational inclusions involving generalized \(m\)-accretive mappings in Banach space. By using the resolvent operator technique associated with generalized \(m\)-accretive mappings due to Huang and Fang, we prove the existence theorem of the solution for this variational inclusion system in uniformly smooth Banach space, and discuss convergence and stability of a class of new perturbed iterative algorithms for solving the inclusion system in Banach spaces. Our results presented in this paper may be viewed as an refinement and improvement of the previously known results.
Mathematics Subject Classification ID: 65J15
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 90C33
zbMATH DE Number: 7022843
Wikidata QID: Q59040432
author: Ting-jian Xiong
author: Hengyou Lan
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/659870
OpenAlex ID: W2147207565
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description: scientific article; zbMATH DE number 7022843