Fixed Point Theory and Applications
Volume 2007 (2007), Article ID 32870, 8 pages
doi:10.1155/2007/32870

Iterative algorithm for approximating solutions of maximal monotone operators in Hilbert spaces

Abstract

We first introduce and analyze an algorithm of approximating solutions of maximal monotone operators in Hilbert spaces. Using this result, we consider the convex minimization problem of finding a minimizer of a proper lower-semicontinuous convex function and the variational problem of finding a solution of a variational inequality.