Epi-cesaro convergence
Abstract
Since the turn of the century there have been several notions
of convergence for subsets of metric spaces appear in the literature. Appearing in as a subset of these notions is the concepts of epi-convergence.
In this paper we peresent definitions of epi-Cesaro convergence for sequences of lower semicontinuous functions from X to [−∞, ∞] and Kuratowski Cesaro convergence of sequences of sets. Also we characterize the connection between epi-Cesaro convergence of sequences of functions
and Kuratowski Cesaro convergence of their epigarphs.
