Iterative algorithms for solving a class of quasi variational inequalities

In this paper, we introduce and study a new class of quasi variational inequalities, known as multivalued extended general quasi variational inequalities. It is shown that the multivalued extended general quasi variational inequalities are equivalent to the fixed point problems. We use this alternative equivalent formulation to suggest and ana- lyze some iterative methods. We consider the convergence analysis of an iterative method under suitable conditions. We also introduce a new class of Wiener-Hopf equations, known as multivalued extended general implicit Wiener-Hopf equations. We establish the equivalence between the multivalued extended general quasi variational inequalities and multivalued extended general implicit Wiener-Hopf equations. Using this equivalence, we suggest and analyze some iterative methods. Several special cases are also discussed. The ideas and techniques of this paper may stimulate further research in this field.