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