Jaros{\l }aw G\'ornicki, Krzysztof Pupka
Fixed point theorems for $n$-periodic mappings in Banach spaces

Comment.Math.Univ.Carolinae 46,1 (2005) 33-42.

Abstract:Using modified Halpern iterations, by elementary method, we extend and improve results obtained by W.A. Kirk (Proc. Amer. Math. Soc. {29} (1971), 294) and others, which have recently been presented in Chapter 11 of {Handbook of Metric Fixed Point Theory} (2001).

Keywords: lipchitzian mapping, uniformly lipschitzian mapping, $n$-periodic mapping, fixed point
AMS Subject Classification: 47H09, 47H10