A Short Note on $P$-Contractive and Picard Operators

Faruk Temur

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arXiv · 2608.18297

A Short Note on $P$-Contractive and Picard Operators

Faruk Temur

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Abstract

Altun and Hancer \cite{AltunHancer2019} proved that every continuous $P$-contractive self-map of compact metric space is an almost Picard operator, and asked whether it must in fact be a Picard operator. We give an affirmative answer. The proof follows by combining the existing results with a final compactness argument.

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Faruk Temur. 2026-08-18. A Short Note on $P$-Contractive and Picard Operators. https://arxiv.org/abs/2608.18297

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