Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 418030, 8 pages
doi:10.1155/2010/418030
Research Article

Browder's Convergence for Uniformly Asymptotically Regular Nonexpansive Semigroups in Hilbert Spaces

Genaro López Acedo1 and Tomonari Suzuki2

1Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Sevilla, 41080 Sevilla, Spain
2Department of Mathematics, Kyushu Institute of Technology, Tobata, Kitakyushu 804-8550, Japan

Received 6 October 2009; Accepted 14 October 2009

Academic Editor: Tomas Dominguez Benavides

Copyright © 2010 Genaro López Acedo and Tomonari Suzuki. 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 give a sufficient and necessary condition concerning a Browder's convergence type theorem for uniformly asymptotically regular one-parameter nonexpansive semigroups in Hilbert spaces.