A common fixed point theorem for a commuting family of weak*continuous nonexpansive mappings
Sławomir Borzdyński, Andrzej Wiśnicki · Studia Mathematica · 2014
It is shown that if $\mathcal {S}$ is a commuting family of weak$^{\ast }$ continuous nonexpansive mappings acting on a weak$^{\ast }$ compact convex subset $C$ of the dual Banach space $E,$ then the set of common fixed points of $\mathcal {S}$ is a