A Fixed Point Theorem for Noncommutative Families of Nonexpansive Mappings in Banach spaces
Anthony To‐Ming Lau, Wataru Takahashi · 1995
Let $C $ be a nonempty weakly compact convex subset of a Banach space which has normal structure and let $S $ be a semitopological semigroup such that $RUC(S) $ has a left invariant mean. Then we prove a fixed point theorem for a continuous representation of $S $ as nonexpansive mappings on $C $. 1991 Mathematics Subject Classification. Primary $47H10 $. Key words and phrases. Fixed point, nonexpansive mapping, invariant mean.