Abstract:W.A.~Kirk in 1971 showed that if $T\colon C\to C$, where $C$ is a closed and convex subset of a Banach space, is $n$-periodic and uniformly $k$-lipschitzian mapping with $k
Keywords: lipschitzian mapping, firmly lipschitzian mapping, $n$-periodic mapping, fixed point, retractions
AMS Subject Classification: 47H09 47H10