Journal of Applied Mathematics
Volume 2013 (2013), Article ID 574215, 8 pages
http://dx.doi.org/10.1155/2013/574215
Research Article

Viscosity Method for Hierarchical Fixed Point Problems with an Infinite Family of Nonexpansive Nonself-Mappings

Yaqin Wang1,2

1Department of Mathematics, Shaoxing University, Shaoxing 312000, China
2Mathematical College, Sichuan University, Chengdu, Sichuan 610064, China

Received 4 January 2013; Accepted 22 March 2013

Academic Editor: Filomena Cianciaruso

Copyright © 2013 Yaqin Wang. 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 viscosity method for hierarchical fixed point problems is presented to solve variational inequalities, where the involved mappings are nonexpansive nonself-mappings. Solutions are sought in the set of the common fixed points of an infinite family of nonexpansive nonself-mappings. The results generalize and improve the recent results announced by many other authors.