[Banach] Abstract of a paper by Andrzej Wisnicki

This is an announcement for the paper "Hyper-extensions in metric fixed point theory" by Andrzej Wisnicki. Abstract: We apply a modern axiomatic system of nonstandard analysis in metric fixed point theory. In particular, we formulate a nonstandard iteration scheme for nonexpansive mappings and present a nonstandard approach to fixed-point problems in direct sums of Banach spaces. Archive classification: math.FA math.LO Remarks: 12 pages Submitted from: awisnic@hektor.umcs.lublin.pl The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1401.2144 or http://arXiv.org/abs/1401.2144