摘要

In this paper, we consider continuity properties (especially, regularity, also viewed as an approximation property) for P-0 (X)-valued set multifunctions (X being a: linear, topological. space), in order to obtain Egoroff and Lusin type theorems for set multifunctions in the Vietoris hypertopology. Some mathematical applications are established, and several physical implications of the mathematical model of regularity are presented, which allows a classification of the physical models.

  • 出版日期2015-2