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