TY - JOUR
T1 - Epi-Cesaro Convergence
TT -
JF - IJMSI
JO - IJMSI
VL - 10
IS - 1
UR - http://ijmsi.ir/article-1-639-en.html
Y1 - 2015
SP - 149
EP - 155
KW - Cesaro convergence
KW - Epi-convergence
KW - Epi-Cesaro convergence
KW - Lower semicontinuous function.
N2 - 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 $[-infty,infty]$ 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.
M3 10.7508/ijmsi.2015.01.012
ER -