Considerations on (pseudo-) convergences of sequences of measurale functions on monotone set multifunction space (Q2919604)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Considerations on (pseudo-) convergences of sequences of measurale functions on monotone set multifunction space |
scientific article; zbMATH DE number 6090223
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Considerations on (pseudo-) convergences of sequences of measurale functions on monotone set multifunction space |
scientific article; zbMATH DE number 6090223 |
Statements
4 October 2012
0 references
monotone set multifunction
0 references
single asymptotic null-additive
0 references
double asymptotic (pseudo-) null-additive
0 references
fundamental (pseudo-) convergences
0 references
Considerations on (pseudo-) convergences of sequences of measurale functions on monotone set multifunction space (English)
0 references
The aim of this paper is to further the previous studies of \textit{A. Precupeanu} and \textit{A. Gavriluţ} [An. Ştiinţ. Univ. Al. I. Cuza Iaşi, Ser. Nouă, Mat. 58, No. 1, 67--84 (2012; Zbl 1265.28035); ``Set-valued Lebesgue and Riesz type theorems'', An. Ştiinţ. Univ. Al. I. Cuza Iaşi, Ser. Nouă, Mat. 59, No. 1, 113--128 (2013)] concerning convergences and pseudo-convergences of sequences of real-valued measurable functions with respect to monotone set multifunction with values in the family of all nonvoid closed, bounded sets of a Banach space. Considerations concerning operations and uniqueness of the limit with respect to such convergences are given and asymptotic structural properties of certain monotone set multifunctions are characterized.
0 references
