2 citations · 2 across the 4 of their papers we have counts for
5 papers
On the equicontinuity of the Hutchinson operator
Filip Strobin, Piotr Szuca
We show that the Hutchinson operator of an Iterated Function System with an attractor is equicontinuous if and only if it is continuous; in particular, every finite Iterated Functi…
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…
Games characterizing certain families of functions
Marek Balcerzak, Tomasz Natkaniec, Piotr Szuca
We obtain several game characterizations of Baire 1 functions between Polish spaces X, Y which extends the recent result of V. Kiss. Then we propose similar characterizations for e…