A NEW SELF-ADAPTIVE ITERATIVE METHOD FOR GENERAL MIXED QUASI VARIATIONAL INEQUALITIES |
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Authors: | Abdellah Bnouhachem Mohamed Khalfaoui Hafida Benazza |
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Affiliation: | [1]School of Management Science and Engineering, Nanjing University, Nanjing 210093, China [2]Ecole Supdrieure de Technologic de Said, Mohamed 5 University of Science, Agdal-Rabat, Morocco |
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Abstract: | The general mixed quasi variational inequality containing a nonlinear term ψ is a useful and an important generalization of variational inequalities. The projection method can not be applied to solve this problem due to the presence of nonlinear term. It is well known that the variational inequalities involving the nonlinear term ψ are equivalent to the fixed point problems and re, solvent equations. In this article, the authors use these alternative equivalent formulations to suggest and analyze a new self-adaptive iterative method for solving general mixed quasi variational inequalities. Global convergence of the new method is proved. An example is given to illustrate the efficiency of the proposed method. |
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Keywords: | General mixed quasi variational inequalities self-adaptive rules resolvent operator |
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