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Abstract and Applied Analysis
Volume 2014 (2014), Article ID 365203, 13 pages
http://dx.doi.org/10.1155/2014/365203
Research Article

The Hybrid Steepest Descent Method for Split Variational Inclusion and Constrained Convex Minimization Problems

Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha Uthit Road, Bang Mod, Thung Khru, Bangkok 10140, Thailand

Received 21 May 2014; Accepted 17 July 2014; Published 13 August 2014

Academic Editor: Vinay Kanwar

Copyright © 2014 Jitsupa Deepho and Poom Kumam. 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 introduced an implicit and an explicit iteration method based on the hybrid steepest descent method for finding a common element of the set of solutions of a constrained convex minimization problem and the set of solutions of a split variational inclusion problem.