Browsing Rocznik Naukowo-Dydaktyczny. Prace Matematyczne by Title
Now showing items 46-65 of 230
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Linear equations with multiplicative operators in commutative algebras with logarithms
(2000)Fundamental solutions in Leibniz algebras with logarithms have been constructed in [2]. In several applications operators under consideration inducing logarithmic mappings are either multiplicative or can be reduced by ... -
L’équation de translation et l’équation de Sincov généralisée
(1999)On donne une liaison entre l’équation de translation (1) et l’équation de Sincov généralisée (2), aussi dans le cas du type de Pexider ((20) et (23)). On formule aussi quelques problèmes ouverts. -
Matkowski-Sutô type problem for conjugate arithmetic means
(2000)Let I ⊂ R be an open interval and let CM(I) denote the set of all continuous and strictly monotonie real functions on I. For ϕ ϵ CM(I) we define A[*][ϕ](x,y) := ϕ[-1](ϕ(x) + ϕ(y) - ϕ(x+y/2) for all x,y ϵ I, which is ... -
Mazur’s criterion for continuity of convex set-valued maps
(2000)The following result is proved: If a set-valued map F : D → cc (Y) is K-midconvex and for every function x : [0,1] → D there exists a Lebesgue measurable set-valued map G : [0,1] → c (Y) such that G(t) ⊂ F(x(t)) + K, t ... -
Note on some functional equations of Gołąb-Schinzel type
(2000)In the present paper, we consider the following functional equation of Gołąb-Schinzel type: f(f(x)[n]y + f(y)[k]x) = ф(f(х), f(y)) (1) where ф : R[2] → R is a given function, f : E → R is the unknown function, E ...