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K-subquadratic set-valued functions

100%

Troczka-Pawelec K.

Commentationes Mathematicae

2014

tom 54

nr 2

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 $$ 2F(s)+2F(t)\subset F(s+t)+F(s-t)+K, \quad s,t\in X, $$ with values in a topological vector space and where $K$ is a cone in this space.

Continuity of real valued subquadratic functions

63%

Kominek Z., Troczka-Pawelec K.

Commentationes Mathematicae

2011

tom 51

nr 1

The aim of this paper is to prove a regularity theorem for real valued subquadratic mappings that are solutions of the inequality \[ \varphi (x + y) + \varphi(x - y) \leq 2\varphi(x) + 2\varphi(y),\quad x, y \in X, where $X = (X, +)$ is a topological group.

Ograniczanie wyników

2 Commentationes Mathematicae

2 Troczka-Pawelec K.

1 Kominek Z.

1 2014

1 2011

Wyniki wyszukiwania

K-subquadratic set-valued functions

Continuity of real valued subquadratic functions