A common fixed point theorem for a commuting family of weak${}^{\ast }$ continuous nonexpansive mappings

Sławomir Borzdyński, Andrzej Wiśnicki

It is shown that if $S$ is a commuting family of weak${}^{\ast }$ continuous nonexpansive mappings acting on a weak${}^{\ast }$ compact convex subset $C$ of the dual Banach space $E$,…