A scheme for a solution of a variational inequality for a monotone mapping and a fixed point of a pseudocontractive mapping
Mohammed Alghamdi, Naseer Shahzad, Habtu Zegeye · Journal of Inequalities and Applications · 2015
We introduce an iterative process which converges strongly to a common point of the solution set of a variational inequality problem for a Lipschitzian monotone mapping and the fixed point set of a continuous pseudocontractive mapping in Hilbert spaces. In addition, a numerical example which supports our main result is presented. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear operators.