Implicit dynamical systems and quasi variational inequalities

Authors:
Muhammad Aslam Noor
Affiliations:
Etisalat College of Engineering, P.O. Box 980, Sharjah, United Arab Emirates
Venue:
Applied Mathematics and Computation
Year:
2003

Citing 7
Cited 1

Some aspects of variational inequalities

Journal of Computational and Applied Mathematics
On the stability of projected dynamical systems

Journal of Optimization Theory and Applications
Sensitivity analysis for quasi-variational inequalities

Journal of Optimization Theory and Applications
A recurrent neural network for solving linear projection equations

Neural Networks
On the stability of globally projected dynamical systems

Journal of Optimization Theory and Applications
Resolvent dynamical systems for mixed variational inequalities

The Korean Journal of Computational & Applied Mathematics
A projected dynamical systems model of general financial equilibrium with stability analysis

Mathematical and Computer Modelling: An International Journal

Resolvent dynamical systems for mixed variational inequalities

The Korean Journal of Computational & Applied Mathematics

Quantified Score

Hi-index	0.48

Visualization

Abstract

In this paper, we propose and analyze some implicit projected dynamical systems associated with quasi variational inequalities by using the techniques of the projection and the Wiener-Hopf equations. We prove that the globally asymptotic stability of these dynamical systems requires only the pseudomonotonicity of the operator, which is a weaker condition than monotonicity. We also discuss some special cases, which can be obtained from our main results. The results obtained in this paper represent a significant improvement of the previously known results.