Brian Lins

activity

20102025

most citedInverse continuity on the boundary of the numerical range

1 citations · 2 across the 15 of their papers we have counts for

collaborators

17 papers

math.FA2025

A note on irreducibility for topical maps

Brian Lins

Topical maps are a nonlinear generalization of nonnegative matrices acting on the interior of the standard cone $R_{\geq 0}^{n}$ . Several analogues of irreducibility have bee…

math.DS2024

Real analytic nonexpansive maps on polyhedral normed spaces

Brian Lins

If a real analytic nonexpansive map on a polyhedral normed space has a nonempty fixed point set, then we show that there is an isometry from an affine subspace onto the fixed point…

math.FA2023

Bounded fixed point sets and Krasnoselskii iterates of Thompson metric nonexpansive maps

Brian Lins

We consider maps defined on the interior of a normal, closed cone in a real Banach space that are nonexpansive with respect to Thompson's metric. With mild compactness assumptions,…

math.FA2022

Convergence of iterates in nonlinear Perron-Frobenius theory

Brian Lins

Let $C$ be a closed cone with nonempty interior $C^{\circ}$ in a Banach space. Let $f : C^{\circ} \to C^{\circ}$ be an order-preserving subhomogeneous function with a fixed point i…

math.FA2021

A unified approach to nonlinear Perron-Frobenius theory

Brian Lins

Let $f : R_{> 0}^{n} \to R_{> 0}^{n}$ be an order-preserving and homogeneous function. We show that the set of eigenvectors of $f$ in $R_{> 0}^{n}$ is none…

math.FA2021★ 1 cited

Nonexpansive maps with surjective displacement

Brian Lins

We investigate necessary and sufficient conditions for a nonexpansive map $f$ on a Banach space $X$ to have surjective displacement, that is, for $f - id$ to map onto $X$ .…