Hyper-extensions in metric fixed point theory
Functional Analysis
2015-11-24 v1 Logic
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.
Cite
@article{arxiv.1401.2144,
title = {Hyper-extensions in metric fixed point theory},
author = {Andrzej Wiśnicki},
journal= {arXiv preprint arXiv:1401.2144},
year = {2015}
}
Comments
12 pages