This is an announcement for the paper "Fixed point theorems for asymptotically contractive mappings" by Tomonari Suzuki. Abstract: In this short paper, we prove fixed point theorems for nonexpansive mappings whose domains are unbounded subsets of Banach spaces. These theorems are generalizations of Penot's result in [Proc. Amer. Math. Soc., 131 (2003), 2371--2377]. Archive classification: Functional Analysis Mathematics Subject Classification: 47H09 Remarks: 7 pages The source file(s), suzuki.tex: 18631 bytes, is(are) stored in gzipped form as 0405163.gz with size 5kb. The corresponding postcript file has gzipped size 38kb. Submitted from: suzuki-t@mns.kyutech.ac.jp The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0405163 or http://arXiv.org/abs/math.FA/0405163 or by email in unzipped form by transmitting an empty message with subject line uget 0405163 or in gzipped form by using subject line get 0405163 to: math@arXiv.org.