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K-subquadratic set-valued functions

Katarzyna Troczka-Pawelec — 2014

Commentationes Mathematicae

Let $X = (X, +)$ be an arbitrary topological group. The aim of the paper is to prove a regularity theorem for K-subquadratic set-valued functions, that is, solutions of the inclusion $2 F (s) + 2 F (t) \subset F (s + t) + F (s - t) + K, s, t \in X,$ with values in a topological vector space and where $K$ is a cone in this space.

Continuity of real valued subquadratic functions

Zygfryd Kominek; Katarzyna Troczka-Pawelec — 2011

Commentationes Mathematicae

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