RT - Journal Article
T1 - Epi-Cesaro Convergence
JF - IJMSI
YR - 2015
JO - IJMSI
VO - 10
IS - 1
UR - http://ijmsi.ir/article-1-639-en.html
SP - 149
EP - 155
K1 - Cesaro convergence
K1 - Epi-convergence
K1 - Epi-Cesaro convergence
K1 - Lower semicontinuous function.
AB - 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.
LA eng
UL http://ijmsi.ir/article-1-639-en.html
M3 10.7508/ijmsi.2015.01.012
ER -