1 citations · 1 across the 3 of their papers we have counts for
4 papers
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…
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…
On semismooth path-following method and uniformity of strong metric subregularity at/around the reference point
Tomáš Roubal, Jan Valdman
This paper investigates a path-following method inspired by the semismooth approach for solving algebraic inclusions, with a primary emphasis on the role of uniform subregulari…
A Quest for Simple and Unified Proofs in Regularity Theory: Perturbation Stability
Radek Cibulka, Tomáš Roubal
Ioffe's criterion and various reformulations of it have become a~standard tool in proving theorems guaranteeing metric regularity of a (set-valued) mapping. First, we demonstrate t…