Journal of Inequalities and Applications
Volume 2009 (2009), Article ID 208692, 13 pages
doi:10.1155/2009/208692
Research Article

On a Two-Step Algorithm for Hierarchical Fixed Point Problems and Variational Inequalities

Filomena Cianciaruso,1 Giuseppe Marino,1 Luigi Muglia,1 and Yonghong Yao2

1Dipartimento di Matematica, Universitá della Calabria, 87036 Arcavacata di Rende (CS), Italy
2Department of Mathematics, Tianjin Polytechnic University, Tianjin 300160, China

Received 5 May 2009; Accepted 12 September 2009

Academic Editor: Ram U. Verma

Copyright © 2009 Filomena Cianciaruso et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A common method in solving ill-posed problems is to substitute the original problem by a family of well-posed (i.e., with a unique solution) regularized problems. We will use this idea to define and study a two-step algorithm to solve hierarchical fixed point problems under different conditions on involved parameters.