General mixed harmonic variational inequalities (Q6558442)

In this paper, the authors study general mixed harmonic variational inequalities. The concept of general mixed harmonic variational inequality is a new class of general mixed variational inequality. Some iterative algorithms are used to discuss the behavior of this inequality. The developments of such algorithms are interesting to find most suitable to establish their approximate solution, and some of their characterizations are also discussed. The authors employ the auxiliary principle technique and g-strongly harmonic monotonicity of the operator to obtain results on the existence of solutions to a generalized class of mixed harmonic variational inequalities. It is highly expected that the ideas and methods used in this paper may stimulate further research in this area.