On set-valued relaxed accretive mappings and nonlinear variational inclusions with \(H_h\)-strongly monotone mappings
type: Item
instance of: scholarly article
zbMATH Open document ID: 1290.47049
author: Zeqing Liu
author: Dong Min Lee
author: Shin Min Kang
publication date: 2013-09-26T00:00:00Z
Mathematics Subject Classification ID: 47H04
Mathematics Subject Classification ID: 47J22
Mathematics Subject Classification ID: 47H05
Mathematics Subject Classification ID: 47H06
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 47J25
zbMATH DE Number: 6212291
zbMATH Keywords: set-valued relaxed accretive mappings
zbMATH Keywords: set-valued relaxed pseudocontractive mappings
zbMATH Keywords: set-valued \(H_h\)-strongly monotone mappings
zbMATH Keywords: nonlinear variational inclusions
zbMATH Keywords: nonlinear resolvent equations
zbMATH Keywords: algorithms
MaRDI profile type: Publication
title: On set-valued relaxed accretive mappings and nonlinear variational inclusions with \(H_h\)-strongly monotone mappings
published in: Advances in Nonlinear Variational Inequalities
review text: In this paper, the authors consider some new classes of nonlinear set-valued mappings (such as relaxed accretive, relaxed pseudocontractive) and discuss the single-valuedness of these types of mappings in Banach spaces. Then, some iterative algorithms (such as Mann iteration method with errors, implicit Mann iteration method, implicit iteration method) are applied to a nonlinear variational inclusion and to nonlinear resolvent equations in Hilbert spaces.
reviewed by: Adrian Petruşel
description: scientific article; zbMATH DE number 6212291