K-subquadratic set-valued functions

• Autorzy: Katarzyna Troczka-Pawelec
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

subquadratic set-valued functions; superquadratic set-valued functions; regularity theorem; set-valued functions

• Wydawca: Polish Mathematical Society
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2014
• Tom: 54
• Numer: 2

Daty

wydano

2014

online

2014-12-15

Twórcy

autor

Katarzyna Troczka-Pawelec

Identyfikatory

DOI

10.14708/cm.v54i2.697