Solving a class of semi-infinite variational inequality problems via a homotopy method

In this paper, the homotopy method is applied to solve a class of semi-infinite variational inequality problems with the complex structure, and the existence and convergence of the homotopy path are proved under non-monotonicity assumptions for the proposed mapping F. The numerical results of the algorithm also show that the homotopy method is robust and competitive for solving this class of semi-infinite variational inequality problems by comparing with inexact cutting plane method.