Hybrid Iterations for the Fixed Point Problem and Variational Inequalities

Abstract

A hybrid iterative algorithm with Meir-Keeler contraction is presented for solving the fixed point problem of the pseudocontractive mappings and the variational inequalities. Strong convergence analysis is given as ${\text{l}\text{i}\text{m}}_{n\to \mathrm{\infty }}d(ST{x}_n,TS{x}_n)$.