Generalized set-valued variational inclusions in Banach spaces
type: Item
instance of: scholarly article
title: Generalized set-valued variational inclusions in Banach spaces
zbMATH Open document ID: 1031.49017
author: Yeol Je Cho
author: Shihsen Chang
author: Byung-Soo Lee
author: Il Hyo Jung
published in: Journal of Mathematical Analysis and Applications
publication date: 2004-03-04T00:00:00Z
review text: In this interesting paper, the authors have suggested and analyzed an iterative method for solving the generalized set-valued variational inclusions in Banach spaces using the resolvent equations technique. It is worth mentioning that the concept of the resolvent equations is due to the reviewer [J. Math. Anal. Appl. 228, 206-220 (1998; Zbl 1031.49016)]. For recent generalizations and applications of the resolvent equations see [the reviewer, J. Math. Anal. Appl. 255, 589-604 (2001; Zbl 0986.49006)] and the references therein.
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 90C33
zbMATH DE Number: 1496301
zbMATH Keywords: algorithms
zbMATH Keywords: set-valued variational inclusions
zbMATH Keywords: resolvent equations
reviewed by: Muhammad Aslam Noor
MaRDI profile type: Publication
full work available at URL: jmaa.2000.6795
OpenAlex ID: W2032243642
cites work: Q4094029
cites work: Some problems and results in the study of nonlinear analysis
cites work: The Mann and Ishikawa iterative approximation of solutions to variational inclusions with accretive type mappings
cites work: Iterative approximations of fixed points and solutions for strongly accretive and strongly pseudo-contractive mappings in Banach spaces
cites work: Q5185568
cites work: A perturbed algorithm for variational inclusions
cites work: On the generalized implicit quasivariational inequalities
cites work: Generalized nonlinear variational inclusions with noncompact valued mappings
cites work: Sensitivity analysis for variational inclusions by Wiener-Hopf equation techniques
cites work: Multi-valued contraction mappings
cites work: Q4346042
cites work: Q4379284
cites work: Sensitivity analysis for quasi-variational inequalities
cites work: Generalized set-valued variational inclusions and resolvent equations
cites work: Q4799725
cites work: An implicit method for mixed variational inequalities
cites work: Generalized multivalued quasi-variational inequalities. II
cites work: Some algorithms for general monotone mixed variational inequalities
cites work: Sensitivity analysis for quasi-variational inclusions
cites work: Set-valued resolvent equations and mixed variational inequalities
cites work: Normal Maps Induced by Linear Transformations
cites work: Equivalence of Variational Inequalities with Wiener-Hopf Equations
cites work: Strongly nonlinear generalized equations
cites work: Iterative algorithm for finding approximate solutions to completely generalized strongly nonlinear quasivariational inequalities
DOI: 10.1006/JMAA.2000.6795
description: scientific article; zbMATH DE number 1496301