%0 Journal Article %T Common fixed points of one-parameter nonexpansive semigroups in strictly convex Banach spaces %A Tomonari Suzuki %J Abstract and Applied Analysis %D 2006 %I Hindawi Publishing Corporation %X One of our main results is the following convergence theorem for one-parameter nonexpansive semigroups: let C be a bounded closed convex subset of a Hilbert space E , and let { T( t ):t¡Ê + } be a strongly continuous semigroup of nonexpansive mappings on C . Fix u¡ÊC and t 1 , t 2 ¡Ê + with t 1 < t 2 . Define a sequence { x n } in C by x n = ( 1 ¦Á n ) / ( t 2 t 1 ) ¡Ò t 1 t 2 T( s ) x n ds+ ¦Á n u for n¡Ê , where { ¦Á n } is a sequence in ( 0,1 ) converging to 0 . Then { x n } converges strongly to a common fixed point of { T( t ):t¡Ê + } . %U http://www.hindawi.com/GetArticle.aspx?doi=10.1155/AAA/2006/58684