Journal of Applied Mathematics
Volume 2012 (2012), Article ID 320421, 13 pages
http://dx.doi.org/10.1155/2012/320421
Research Article

An Iterative Algorithm for a Hierarchical Problem

Yonghong Yao,1 Yeol Je Cho,2 and Pei-Xia Yang1

1Department of Mathematics, Tianjin Polytechnic University, Tianjin 300387, China
2Department of Mathematics Education and the RINS, Gyeongsang National University, Chinju 660-701, Republic of Korea

Received 29 September 2011; Accepted 11 November 2011

Academic Editor: Giuseppe Marino

Copyright © 2012 Yonghong Yao 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 general hierarchical problem has been considered, and an explicit algorithm has been presented for solving this hierarchical problem. Also, it is shown that the suggested algorithm converges strongly to a solution of the hierarchical problem.