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arXiv · 1401.2144

Hyper-extensions in metric fixed point theory

Andrzej Wiśnicki
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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.

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Andrzej Wiśnicki. 2014-01-09. Hyper-extensions in metric fixed point theory. https://arxiv.org/abs/1401.2144

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