21 citations · 163 across the 30 of their papers we have counts for
Showing 2014Show all
3 papers · 1 filter
math.AC2014
Additive solvability and linear independence of the solutions of a system of functional equations
Eszter Gselmann, Zsolt Páles
The aim of this paper is twofold. On one hand, the additive solvability of the system of functional equations \[d_{k}(xy)=\sum_{i=0}^{k}Γ(i,k-i) d_{i}(x)d_{k-i}(y) \qquad (x,y\in \…
math.CA2014★ 11 cited
Bernstein--Doetsch type theorems for set-valued maps of strongly and approximately convex and concave type
Carlos González, Kazimierz Nikodem, Zsolt Páles +1
In this paper, we investigate properties of set-valued mappings that establish connection between the values of this map at two arbitrary points of the domain and the value at thei…
math.FA2014★ 21 cited
A contraction principle in semimetric spaces
Mihály Bessenyei, Zsolt Páles
A branch of generalizations of the Banach Fixed Point Theorem replaces contractivity by a weaker but still effective property. The aim of the present note is to extend the contract…