A SELF-ADAPTIVE INERTIAL ALGORITHM FOR BILEVEL PSEUDO-MONOTONE VARIATIONAL INEQUALITY PROBLEMS WITH NON-LIPSCHITZ MAPPINGS.

In this paper, a self-adaptive algorithm involving inertial technique will be introduced to solve bilevel pseudo-monotone variational inequality problems in Hilbert spaces. The main advantages of our algorithm is that the strong convergence theorem of the stated iterative method is proved without Lipschitz continuity condition of the associated mapping. Finally, the effectiveness and superiority of the proposed algorithm are proposed by numerical experiments. [ABSTRACT FROM AUTHOR]