Temat: binary intersection property

Skocz do pozycji: 1.

Tytuł:: On some generalized invariant means and their application to the stability of the Hyers-Ulam type
Autorzy:: Badora, Roman
Tematy:: Hyers-Ulam stability theorem
invariant mean
binary intersection property; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Powiązania:: https://bibliotekanauki.pl/articles/1311835.pdf Link otwiera się w nowym oknie
Opis:: We present some extension of the concept of an invariant mean to a space of vector-valued mappings defined on a semigroup. Next, we apply it to the study of the stability of some functional equation.
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: The intersection convolution of relations and the Hahn-Banach type theorems
Autorzy:: Száz, Árpád
Tematy:: intersection convolution
additive and homogeneous relations
linear selections
binary intersection property
Hahn-Banach theorems; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Powiązania:: https://bibliotekanauki.pl/articles/1294289.pdf Link otwiera się w nowym oknie
Opis:: By introducing the intersection convolution of relations, we prove a natural generalization of an extension theorem of B. Rodrí guez-Salinas and L. Bou on linear selections which is already a substantial generalization of the classical Hahn-Banach theorems. In particular, we give a simple neccesary and sufficient condition in terms of the intersection convolution of a homogeneous relation and its partial linear selections in order that every partial linear selection of this relation can have an extension to a total linear selection.
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: A theorem of the Hahn-Banach type and its applications
Autorzy:: Gajda, Zbigniew
Smajdor, Andrzej
Smajdor, Wilhelmina
Tematy:: Hahn-Banach theorem
additive selection
subadditive set-valued function
binary intersection property
stability of functional equations; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Powiązania:: https://bibliotekanauki.pl/articles/1311972.pdf Link otwiera się w nowym oknie
Opis:: Let Y be a subgroup of an abelian group X and let T be a given collection of subsets of a linear space E over the rationals. Moreover, suppose that F is a subadditive set-valued function defined on X with values in T. We establish some conditions under which every additive selection of the restriction of F to Y can be extended to an additive selection of F. We also present some applications of results of this type to the stability of functional equations.
Dostawca treści:: Biblioteka Nauki

Artykuł

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