Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 914702, 12 pages
doi:10.1155/2010/914702
Research Article

Convergence Theorems of Modified Ishikawa Iterative Scheme for Two Nonexpansive Semigroups

Kriengsak Wattanawitoon and Poom Kumam

Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), Bangmod, Thrungkru, Bangkok 10140, Thailand

Received 26 September 2009; Accepted 24 November 2009

Academic Editor: Tomonari Suzuki

Copyright © 2010 Kriengsak Wattanawitoon 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 prove convergence theorems of modified Ishikawa iterative sequence for two nonexpansive semigroups in Hilbert spaces by the two hybrid methods. Our results improve and extend the corresponding results announced by Saejung (2008) and some others.