Abstract:
We propose two new iterative algorithms for solving K-pseudomonotone variational inequality
problems in the framework of real Hilbert spaces. These newly proposed methods are obtained by
combining the viscosity approximation algorithm, the Picard Mann algorithm and the inertial subgradient
extragradient method. We establish some strong convergence theorems for our newly developed
methods under certain restriction. Our results extend and improve several recently announced results.
Furthermore, we give several numerical experiments to show that our proposed algorithms performs
better in comparison with several existing methods.
