General algorithm for nonlinear variational-like inequalities in reflexive Banach spaces
type: Item
instance of: scholarly article
title: General algorithm for nonlinear variational-like inequalities in reflexive Banach spaces
zbMATH Open document ID: 0908.49009
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1999-03-08T00:00:00Z
review text: The author studies a class of general nonlinear variational-like inequalities in reflexive Banach spaces. In particular, by using a minimax inequality that he had obtained earlier, he is able to prove in this paper very interesting existence and uniqueness theorems for solutions of the general nonlinear variational-like inequalities. He extends the auxiliary principle technique in a reflexive Banach space setting in order to compute the approximate solutions of the general nonlinear variational-like inequalities. The paper concludes with some very well presented convergence criteria.
Mathematics Subject Classification ID: 49J40
zbMATH DE Number: 1174919
zbMATH Keywords: algorithm
zbMATH Keywords: minimax inequality
zbMATH Keywords: reflexive Banach spaces
zbMATH Keywords: variational-like inequalities
zbMATH Keywords: auxiliary principle technique
author: Xieping Ding
reviewed by: Themistocles M. Rassias
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1174919