Mixed harmonic directional variational inequalities.

In this paper, we introduce and investigate some new classes of mixed harmonic directional variational inequalities. Several important new problems are obtained as special cases. The auxiliary principle technique is applied to suggest and analyze some hybrid inertial iterative methods for solving the mixed harmonic directional variational inequality. The convergence analysis of these iterative methods is also considered under some mild conditions. Some special cases are also pointed out. Results proved in this paper can be viewed as a significant refinement and improvement of the known results. [ABSTRACT FROM AUTHOR]