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K-subquadratic set-valued functions

Troczka-Pawelec K.

Commentationes Mathematicae

2014

Vol 54, No. 2

147--157

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)⊂F(s+t)+F(s−t)+K,s,t∈X, with values in a topological vector space and where K is a cone in this space.

Continuity of subquadratic set-valued functions

Troczka-Pawelec K.

Demonstratio Mathematica

2012

Vol. 45, nr 4

939-946

Let X = (X, +) be an arbitrary topological group. The aim of the paper is to prove a regularity theorem for set valued subquadratic functions, that is solutions of the inclusion (…), with values in a topological vector space.