| |
|
|
| |
Volume 3, Issue 2, Article 30 |
|
|
|
|
|
| |
On a Noncoercive System of Quasi-Variational Inequalities Related to Stochastic Control Problems
|
| |
|
Authors: |
Messaoud Boulbrachene, M. Haiour, B. Chentouf, |
|
| |
|
Keywords:
|
Quasi-variational inequalities, Contraction, Fixed point finite element, Error estimate. |
|
| |
|
Date Received:
|
29/10/01 |
|
| |
|
Date Accepted:
|
11/02/02 |
|
| |
|
Subject Codes: |
49J40,65N30,65N15
|
|
| |
|
Editors: |
Ram U. Verma, |
|
| |
|
|
|
|
|
| |
|
Abstract: |
This paper deals with a system of quasi-variational inequalities with noncoercive operators. We prove the existence of a unique weak solution using a lower and upper solutions approach. Furthermore, by means of a Banach's fixed point approach, we also prove that the standard finite element approximation applied to this system is quasi-optimally accurate in 
|
|
|
|
|
|
| |
|
|
|
|
| |
|
|
|
|
|
Home
