|
JIPAM
| Operator-Splitting Methods for General Mixed Variational Inequalities |
|
|
|
|
| |
| |
Authors: |
Muhammad Aslam Noor, |
|
| |
Keywords:
|
Variational inequalities, Iterative methods, Fixed points, Resolvent operator, Convergence. |
|
| |
Date Received:
|
02/06/02 |
|
| |
Date Accepted:
|
13/06/02 |
|
| |
Subject Codes: |
49J40,90C33.
|
|
| |
Editors: |
Themistocles M. Rassias, |
|
| |
|
|
|
|
| |
Abstract: |
In this paper, we use the technique of updating the solution to suggest and analyze a class of new splitting methods for solving general variational inequalities. It is shown that these modified methods converge for pseudomonotone operators, which is a weaker condition than monotonicity. Our method includes the two-step forward-backward splitting and extragradient methods for solving various classes of variational inequalities and complementarity problems as special cases.;
|
This article was printed from JIPAM
http://jipam.vu.edu.au
The URL for this article is:
http://jipam.vu.edu.au/article.php?sid=219
|