A Modified Self-Adaptive Subgradient Extragradient Technique for Solving Variational Inequality in Real Hilbert Spaces

Abstract

A modified self adaptive inertial subgradient extragradient algorithm for solving a pseudomonotone variational inequality and fixed point problems in real Hilbert spaces was introduced. The strong convergence of the sequence generated by the algorithm proposed was established under some convenient conditions. Some numerical examples were performed to show the reliability and efficiency of the algorithm. The outcome of this experiment highlighted the improvement of our proposed algorithm over other algorithms in the literature.