General algorithm of solutions for nonlinear variational inequalities in Banach space
type: Item
instance of: scholarly article
title: General algorithm of solutions for nonlinear variational inequalities in Banach space
zbMATH Open document ID: 0888.65080
DOI: 10.1016/S0898-1221(97)00194-6
publication date: 1998-05-13T00:00:00Z
review text: The author studies the variational inequality \((Tu- Au,g(u)- g(v))\geq f(u)- f(v)\) in a reflexive Banach space. First he proves some existence and uniqueness theorems for solutions. By using the auxiliary problem technique, he describes a general algorithm to compute an approximate solution. Lastly, a convergence criterion is discussed.
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 65J15
Mathematics Subject Classification ID: 49J27
zbMATH DE Number: 1107106
zbMATH Keywords: nonlinear variational inequalities
zbMATH Keywords: Banach space
zbMATH Keywords: algorithm
zbMATH Keywords: convergence
author: Xieping Ding
reviewed by: Guy Jumarie
MaRDI profile type: Publication
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published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 1107106