Journal of Applied Mathematics
Volume 2013 (2013), Article ID 531859, 19 pages
http://dx.doi.org/10.1155/2013/531859
Research Article

Relaxed Viscosity Approximation Methods with Regularization for Constrained Minimization Problems

Lu-Chuan Ceng,1 Hong-Kun Xu,2,3 and Ching-Feng Wen4

1Department of Mathematics, Shanghai Normal University, Scientific Computing Key Laboratory of Shanghai Universities, Shanghai 200234, China
2Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung 80424, Taiwan
3Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
4Center for Fundamental Science, Kaohsiung Medical University, Kaohsiung 807, Taiwan

Received 13 January 2013; Accepted 26 March 2013

Academic Editor: Luigi Muglia

Copyright © 2013 Lu-Chuan Ceng 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

We introduce a new relaxed viscosity approximation method with regularization and prove the strong convergence of the method to a common fixed point of finitely many nonexpansive mappings and a strict pseudocontraction that also solves a convex minimization problem and a suitable equilibrium problem.