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math.OC2025
A note on the uniformity of strong subregularity around the reference point
Tomáš Roubal
This paper investigates strong metric subregularity around a reference point as introduced by H. Gfrerer and J. V. Outrata. In the setting of Banach spaces, we analyse its stabilit…
math.NA2025
On Josephy-Halley method for generalized equations
Tomáš Roubal, Jan Valdman
We extend the classical third-order Halley iteration to the setting of generalized equations of the form \[ 0 \in f(x) + F(x), \] where \(f\colon X\longrightarrow Y\) is twice cont…