Continuity properties of cluster multifunctions and closed graph theorems

Rok, strany: 2008, 81 - 89

This paper introduces the notion of a cluster system and a cluster operation acting on multifunctions, as a base tool for investigation of continuity properties of multifunctions. The main results of the paper concern the lower quasi continuity and the lower semi continuity of a cluster multifunction and the properties of a multifunction having the closed graph with respect to a given cluster system.

ISO 690:

Matejdes, M. 2008. Continuity properties of cluster multifunctions and closed graph theorems. In Tatra Mountains Mathematical Publications, vol. 40, no.2, pp. 81-89. 1210-3195.

APA:

Matejdes, M. (2008). Continuity properties of cluster multifunctions and closed graph theorems. Tatra Mountains Mathematical Publications, 40(2), 81-89. 1210-3195.