On selections of general linear inclusions. (English) Zbl 1212.39041

Nikodem, Kazimierz; Popa, Dorian

Publ. Math. 75, No. 1-2, 239-249 (2009).

In the main theorem of this paper, the authors prove that, if a general linear inclusion fulfills some conditions, then it has a general linear selection. As a corollary, they derive a stability theorem of the general linear equation.

Reviewer: Pál Burai (Debrecen)

MSC:

39B62	Functional inequalities, including subadditivity, convexity, etc.
39B82	Stability, separation, extension, and related topics for functional equations
54C65	Selections in general topology

Keywords:

general linear inclusion; selection; stability; general linear equation