Author/Authors :
Nuray، Fatih نويسنده Department of Mathematics, Afyon Kocatepe University, Afyonkarahisar, Turkey. , , Patterson، Richard F. نويسنده Department of Mathematics and Statistics, University of North Florida, Jacksonville, FL, USA. ,
Abstract :
Since the turn of the century there have been several notions
of convergence for subsets of metric spaces appear in the literature. Ap-
pearing in as a subset of these notions is the concepts of epi-convergence.
In this paper we peresent de nitions of epi-Cesaro convergence for se-
quences of lower semicontinuous functions from X to [??1;1] and Ku-
ratowski 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.
