General Wiener–Hopf equation technique for nonexpansive mappings and general variational inequalities in Hilbert spaces

Abstract

In this paper, we show the general variational inequality problems are equivalent to solving the general Wiener–Hopf equations. By using the equivalence, we establish a general iterative algorithm for finding the solution of general variational inequalities, general Wiener–Hopf and the fixed point of nonexpansive mappings. Our results extend and improve the recent corresponding results announced by many others.