Self adaptive alternated inertial algorithm for solving variational inequality and fixed point problems

Abstract

We introduce an alternated inertial subgradient extragradient algorithm of non-Lipschitz and pseudo-monotone operators to solve variational inequality and fixed point problems. We also demonstrated that, under certain conditions, the sequence produced by our algorithm exhibits weak convergence. Moreover, some numerical experiments have been proposed to compare our algorithm with previous algorithms in order to demonstrate the effectiveness of our algorithm.

Keywords

• fixed point
• self adaptive stepsize
• alternated inertial
• variational inequality