Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: binary intersection property

Sortuj według:

Ogranicz wyniki do:

On some generalized invariant means and their application to the stability of the Hyers-Ulam type

100%

Badora R.

Annales Polonici Mathematici

1993

tom 58

nr 2

147-159

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.

The intersection convolution of relations and the Hahn-Banach type theorems

88%

Száz Á.

Annales Polonici Mathematici

1998

tom 69

nr 3

235-249

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.

A theorem of the Hahn-Banach type and its applications

88%

Gajda Z., Smajdor A., Smajdor W.

Annales Polonici Mathematici

1992

tom 57

nr 3

243-252

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.

Ograniczanie wyników

3 Annales Polonici Mathematici

1 Badora R.

1 Gajda Z.

1 Smajdor A.

1 Smajdor W.

1 Száz Á.

1 1998

1 1993

1 1992

Wyniki wyszukiwania

On some generalized invariant means and their application to the stability of the Hyers-Ulam type

The intersection convolution of relations and the Hahn-Banach type theorems

A theorem of the Hahn-Banach type and its applications