On certain classes of variational inequalities and related iterative algorithms
type: Item
instance of: scholarly article
title: On certain classes of variational inequalities and related iterative algorithms
zbMATH Open document ID: 0847.49015
DOI: 10.1155/S1048953396000056
published in: Journal of Applied Mathematics and Stochastic Analysis
publication date: 1996-09-26T00:00:00Z
full work available at URL: https://eudml.org/doc/47508
review text: Summary: In this paper, we introduce and study more new classes of variational inequalities and Wiener-Hopf equations. Essentially using the projection technique, we establish the equivalence between the multivalued general quasi-variational inequalities and the multivalued implicit Wiener-Hopf equations. This equivalence enables us to suggest and analyze a number of iterative algorithms for solving multivalued general quasi-variational inequalities. We also consider the auxiliary principle technique to prove the existence of a unique solution of the variational-like inequalities. This technique is used to suggest a general and unified iterative algorithm for computing the approximate solution. Several special cases which can be obtained from our main results are also discussed. The results proved in this paper represent a significant refinement and improvement of the previously known results.
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 90C20
Mathematics Subject Classification ID: 47B35
zbMATH DE Number: 897649
zbMATH Keywords: variational inequalities
zbMATH Keywords: Wiener-Hopf equations
zbMATH Keywords: quasi-variational inequalities
zbMATH Keywords: iterative algorithms
zbMATH Keywords: auxiliary principle
author: Muhammad Aslam Noor
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 897649