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arXiv · 2608.23129

On The Existence of \(P\)-Contractions that are not Enriched Contractions

Faruk Temur
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Abstract

We construct two examples clarifying the position of enriched $P$-contractions among related classes of mappings on normed spaces. Our first example is a $P$-contraction operator on a finite subset of a normed linear space that is not an enriched contraction. In the second example we have a continuous operator on the whole of a normed linear space that is a $P$-contraction but not an enriched contraction. These examples answer in negative a question raised in \cite{AltunHancerAtes2024} asking whether every enriched $P$-contraction is an enriched contraction.

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Faruk Temur. 2026-08-24. On The Existence of \(P\)-Contractions that are not Enriched Contractions. https://arxiv.org/abs/2608.23129

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