Przeglądaj Rocznik Naukowo-Dydaktyczny według autora "Smajdor, Andrzej"
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Concave itération semigroups of Jensen set-valued functions
Smajdor, Andrzej (1999)Let S be a closed convex cone such that int S ≠ 0 in a real separable Banach space. A necessary and sufficient condition is given under which a family {F[t] : t ≥ 0} of set-valued functions F[t] : S -> cc(S) is a concave ... -
Entire solutions of a functional equation
Smajdor, Andrzej; Smajdor, Wilhelmina (2000)The aim of the present note is to show that all entire solutions f : C → C, of order less than 4, of the equation |f(s + it)f(s - it)| = |f(s)[2] - f(it)[2]|, s,t ϵ R are given by f(z) — az and f(z) = a sin bz, where a, ... -
The stability of the Pexider equation for set-valued functions
Smajdor, Andrzej (1993) -
Superadditive solutions of functional equation
Smajdor, Andrzej (1998)Let {A[s] : s ≥ 0} be a given iteration semigroup of additive set-valued functions. In this paper we study superadditive set-valued solutions Ф of the functional equation Ф(t + s) = A[s] [Ф(t)] + Ф(s) for t, s ≥ 0.