A novel inertial Tseng's method for solving generalized variational inequality problem

In this paper, we introduce a new mapping called h-pseudomonotone mapping, which is a generalization of various monotone mappings in the literature. We also propose a new method namely inertial Tseng's viscosity approximation method for solving generalized variational inequality problem using h-pseudomonotone mapping. We prove its strong convergence. Our finding enhances a number of findings in the literature. In addition, we give numerical examples to demonstrate the effectiveness of our method over other ones.