Graph and pointwise upper Kuratowski limits
Volume 147 / 2017
Colloquium Mathematicum 147 (2017), 195-201
MSC: Primary 54C60, 54C65; Secondary 26E25.
DOI: 10.4064/cm6686-6-2016
Published online: 23 December 2016
Abstract
We deal with a certain relationship between the graph upper Kuratowski limit $\operatorname {Ls} \operatorname {Gr} F_n$ of a sequence of graphs of lower quasi continuous multifunctions and the pointwise upper Kuratowski limit $\operatorname {Ls} F_n(x)$ of a sequence of their values. Namely, we will study under which conditions there is a residual set on which both Kuratowski limits are identical.
