On stability of the general linear equation

A Bahyrycz, J Olko - Aequationes mathematicae, 2015 - Springer
We prove, using the fixed point approach, some stability results for the general linear
functional equation. Namely we obtain sufficient conditions for the stability of a wide class of …

[PDF][PDF] Stability of the equation of the p-Wright affine functions

J Brzdȩk - Aequationes mathematicae, 2013 - core.ac.uk
Stability of the equation of the p-Wright affine functions Page 1 Aequat. Math. 85 (2013), 497–503
c© The Author(s) 2012. This article is published with open access at Springerlink.com 0001-9054/13/030497-7 …

Functional equations involving means

Z Dar├│ czy, K Lajk├│, RL Lovas, G Maksa… - Acta Mathematica …, 2007 - JSTOR
Functional Equations Involving Means and Their Gauss Composition Page 1 PROCEEDINGS
OF THE AMERICAN MATHEMATICAL SOCIETY Volume 134, Number 2, Pages 521-530 S …

Approximate cubic Lie derivations

A Fošner, M Fošner - Abstract and Applied Analysis, 2013 - projecteuclid.org
A classical question in the theory of functional equations is under what conditions is it true
that a mapping which approximately satisfies a functional equation E must be somehow …

Representation theorems for t-Wright convexity

A Olbryś - Journal of mathematical analysis and applications, 2011 - Elsevier
Representation theorems for t-Wright convexity Page 1 J. Math. Anal. Appl. 384 (2011) 273–283
Contents lists available at ScienceDirect Journal of Mathematical Analysis and Applications …

Survey on recent Ulam stability results concerning derivations

J Brzdęk, L Cădariu, K Ciepliński… - Journal of Function …, 2016 - Wiley Online Library
This is a survey presenting the most significant results concerning approximate
(generalized) derivations, motivated by the notions of Ulam and Hyers‐Ulam stability …

On the boundedness, Christensen measurability and continuity of t-Wright convex functions

A Olbryś - Acta Mathematica Hungarica, 2013 - Springer
We discuss the connections between boundedness and continuity of t-Wright convex
functions, moreover, we generalize some results of P. Fischer and Z. Słodkowski [4] …

Duplicating the cube and functional equations

W Jarczyk, M Sablik - Results in Mathematics, 1994 - Springer
Duplicating the cube and functional equations Page 1 Results in Mathematics Vol. 26 (1994)
0378·6218/94/040324·12$1.50 +0.2010 (c) 1994 Birkhauser Verlag, Basel Duplicating the cube …

A support theorem for t-Wright-convex functions

A Olbryś - Mathematical Inequalities & Applications, 2011 - opus.us.edu.pl
The support theorems play a very important role in the theory of convex functions and have
many consequences. In the present paper we give a necessary and sufficient conditions …

A note on asymptotically approximate generalized Lie derivations

J Brzdęk, A Fošner, Z Leśniak - Journal of Fixed Point Theory and …, 2020 - Springer
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