Strong convergence of modified inertial extragradient methods for non-Lipschitz continuous variational inequalities and fixed point problems
摘要
In this paper, we present two modified algorithms for finding a common element of the solution set of a quasimonotone variational inequality and the fixed point set of demicontractive mapping. The main advantage of such iterative methods is that it does not require Lipschitz continuity and the mapping only needs to be quasimonotonicity. Therefore, our algorithms can be applied to more general variational inequalities. Several numerical experiments are provided to verify the preponderance and efficiency of the proposed algorithms.