Atomicity via regularity for non-additive set multifunctions

Časopis: SOFT COMPUTING - A FUSION OF FOUNDATIONS, METHODOLOGIES AND APPLICATIONS

Volume, no: 20 , 12

ISSN: 1432-7643

Stranice: 4761-4766

Link: https://www.springerprofessional.de/en/atomicity-via-regularity-for-non-additive-set-multifunctions/7095328

Apstrakt:
In this paper, an approach to atomicity problems is presented by means of regularity. Characterizations and physical interpretations of atoms and non-atomicity for set multifunctions taking values in the family of all nonempty subsets of a topological space are given.
Ključne reči: Atom, Non-atomic measure, Hypertopology, Regularity, Set multifunction, Fractality