4 papers
On the equicontinuity of the Hutchinson operator
Filip Strobin, Piotr Szuca
We prove that the Hutchinson operators of a wide class of Iterated Function Systems are equicontinuous. In particular, every Iterated Function System with an attractor has equicont…
Borel 1 type mappings and the respective equi-families
Marek Balcerzak, Ľubica Holá, Olena Karlova +1
We investigate classes of functions from a topological space to a metric space that are related to those of Borel class 1. Following the idea defining an equi-Baire 1 family (due t…
Point-set games and functions with the hereditary small oscillation property
Marek Balcerzak, Tomasz Natkaniec, Piotr Szuca
Given a metric space , we consider certain families of functions having the hereditary oscillation property HSOP and the hereditary continuous restriction pro…
Invariant ideals and its applications to the turnpike theory
Musa Mammadov, Piotr Szuca
In this paper the turnpike property is established for a non-convex optimal control problem in discrete time. The functional is defined by the notion of the ideal convergence and c…