New inexact implicit method for general mixed quasi variational inequalities

Authors:
Abdellah Bnouhachem;Muhammad Aslam Noor
Affiliations:
School of Management Science and Engineering, Nanjing University, Nanjing, People's Republic of China 210093 and Ibn Zohr University, Presidence, Agadir, Morocco;Mathematics Department, COMSATS Institute of Information Technology, Islamabad, Pakistan
Venue:
Journal of Global Optimization
Year:
2009

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Abstract

In this paper, we suggest and analyze a new self-adaptive inexact implicit method with a variable parameter for general mixed quasi variational inequalities, where the skew-symmetry of the nonlinear bifunction plays a crucial part in the convergence analysis of this method. We use a self-adaptive technique to adjust parameter 驴 at each iteration. The global convergence of the proposed method is proved under some mild conditions. Preliminary numerical results indicate that the self-adaptive adjustment rule is necessary in practice.