Faruk Temur

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20162026

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math.FA2026

A Counterexample to Horn's Coincidence Conjecture

Faruk Temur

Horn conjectured that whenever $K$ is a nonempty compact convex subset of a Banach space and $F, G : K \to K$ are continuous commuting maps, there exists $x \in K$ such that $F (x) = G (x)$ …

math.FA2026

On The Existence of $P$-Contractions that are not Enriched Contractions

Faruk Temur

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 o…

math.FA2026

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

Faruk Temur

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 f…

A Counterexample to Horn's Coincidence Conjecture

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

A Short Note on P-Contractive and Picard Operators

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