12 citations · 26 across the 5 of their papers we have counts for
5 papers
On possible generalisations of quasi-contractions
Tünde Cseh, Sándor Kajántó, Andor Lukács
This paper investigates whether some fixed point theorems for quasi-contractions on metric spaces introduced by Cirìc in [1] and generalised by Kumam et al. in [2] can be improved…
A note on the paper "Contraction mappings in -metric spaces" by Czerwik
Sándor Kajántó, Andor Lukács
In this paper we correct an inaccuracy that appears in the proof of Theorem 1. in Czerwik's article "Contraction mappings in -metric spaces.", Acta Math. Inform. Univ. Ostravien…
On the conditions of fixed-point theorems concerning -contractions
Sándor Kajántó, Andor Lukács
We prove a fixed-point theorem that generalises and simplifies a number of results in the theory of -contractions. We show that all of the previously imposed conditions on the o…
Dendroidal weak 2-categories
Andor Lukacs
We discuss the dendroidal notion of weak higher categories introduced by Moerdijk and Weiss and we prove that dendroidal weak 2-categories are equivalent to bicategories.
Dold-Kan correspondence for dendroidal abelian groups
Javier J. Gutiérrez, Andor Lukacs, Ittay Weiss
We prove a Dold-Kan type correspondence between the category of dendroidal abelian groups and a suitably constructed category of dendroidal complexes. Our result naturally extends…