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A Short Note on P-Contractive and Picard Operators

Faruk Temur

math.FAarXiv:2608.18297

Abstract

Altun and Hancer 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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