×

zbMATH — the first resource for mathematics

Minimality of multifunctions. (English) Zbl 1138.54016
Author’s abstract: This paper introduces some characterizations of quasi continuity of functions and minimality of multifunctions. The methods used are based on the concept of cluster systems and derived operations acting on multifunctions. Inclusion relations between the original multifunction and the resulting cluster multifunction describe properties connected with generalized continuities and minimality.

MSC:
54C60 Set-valued maps in general topology
54C65 Selections in general topology
26E25 Set-valued functions
54C08 Weak and generalized continuity
PDF BibTeX XML Cite
Full Text: DOI