We consider a general variational inequality and fixed point problem, which is to find a point with the property that (GVF): and where is the solution set of some variational inequality is the fixed points set of nonexpansive mapping , and is a nonlinear operator. Assume the solution set of (GVF) is nonempty. For solving (GVF), we suggest the following method , . It is shown that the sequence converges strongly to which is the unique solution of the variational inequality , for all .
"Iterative Algorithms Approach to Variational Inequalities and Fixed Point Problems." Abstr. Appl. Anal. 2012 (SI12) 1 - 15, 2012. https://doi.org/10.1155/2012/949141