Solvability Of Mixed Quasi Variational Inequalities

Through the present paper, we mainly discuss the solvability of multivalued and single-valued mixed quasi variational inequalities.In this paper, we use the auxiliary principle technique to suggest a new class of predictorp-corrector algorithm for solving multivalued and single-valued mixed quasi variational inequalities. The convergence of the proposed method only requires the g-partially relaxed strong monotonicity of the operator, which is weaker than co-coercivity.As special cases, we obtain a number of known and new results for solving various class of variational inequalities.