Geodesic
Fixed point theorems for $n$-periodic mappings in Banach spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 46 (2005) no. 1, pp. 33-42

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Using modified Halpern iterations, by elementary method, we extend and improve results obtained by W.A. Kirk (Proc. Amer. Math. Soc. {\bf 29} (1971), 294) and others, which have recently been presented in Chapter 11 of {\it Handbook of Metric Fixed Point Theory\/} (2001).
Using modified Halpern iterations, by elementary method, we extend and improve results obtained by W.A. Kirk (Proc. Amer. Math. Soc. {\bf 29} (1971), 294) and others, which have recently been presented in Chapter 11 of {\it Handbook of Metric Fixed Point Theory\/} (2001).
Classification : 47H09, 47H10
Keywords: lipchitzian mapping; uniformly lipschitzian mapping; $n$-periodic mapping; fixed point 
Górnicki, Jarosław; Pupka, Krzysztof. Fixed point theorems for $n$-periodic mappings in Banach spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 46 (2005) no. 1, pp. 33-42. http://geodesic.mathdoc.fr/item/CMUC_2005_46_1_a3/
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     title = {Fixed point theorems for $n$-periodic mappings in {Banach} spaces},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {33--42},
     year = {2005},
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     zbl = {1123.47038},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2005_46_1_a3/}
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