... y|| for all x, y Î H and s ≥ 0;(S4) for all x Î H, s ® T(s)x is continuous.We denote by Fix(T(s)) the set of fixed points of T(s)andbyFix(S)thesetofallcommon fixed points of S, i.e., Fix(S)=⋂s ... Cho2* and Yeong-Cheng Liou3* Correspondence: yjcho@gsnu.ac.kr2Department of MathematicsEducation and the RINS,Gyeongsang National University,Chinju 660-701, Republic of KoreaFull list of ... 2011:101http://www.fixedpointtheoryandapplications.com/content/2011/1/101Page 6 of 10RESEARC H Open AccessHierarchical convergence of an implicit double-net algorithm for nonexpansive semigroups and variational...