On an alternative functional equation.
On an alternative functional equation. (Short Communication).
Note on almost additive functions. (Short Communication).
n-Convex Functions in Linear Spaces.
Note on almost additive functions.
A consistency equation for three geometries.
On almost polynomial functions
On some functional equations with a restricted domain, II
On some functional equations with a restricted domain
Convex functions of higher orders in Euclidean spaces
Convex transformations with Banach lattice range.
A closed epigraph theorem for Jensen-convex mappings with values in Banach lattices with a strong unit is established. This allows one to reduce the examination of continuity of vector valued transformations to the case of convex real functionals. In particular, it is shown that a weakly continuous Jensen-convex mapping is continuous. A number of corollaries follow; among them, a characterization of continuous vector-valued convex transformations is given that answers a question raised by Ih-Ching...
Almost approximately convex functions
Errata for the paper: ``Almost approximately convex functions'
On the Boundedness and Contnuity of Convex Functions and Additive Functions.
On the Boundedness and Continuity of Convex Functions and Additive Functions. (Short Communication).
Report of Meeting: The Thirty-fourth International Symposium on Functional Equations, June 10 to 19, 1996, Wisla-Jawornik, Poland.
p-convex iteration groups
On Mikusiński-Pexider functional equation
An inconsistency equation involving means
We show that any quasi-arithmetic mean and any non-quasi-arithmetic mean M (reasonably regular) are inconsistent in the sense that the only solutions f of both equations and are the constant ones.
On some aspects of Jensen-Menger convexity.
The paper contains various results concerning the so-called homogeneity sets for convex functions defined on convex subsets of some special metric spaces named G-space (cf. H. Busemann [1]). A closed graph theorem for such type mappings is also presented.
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