دوره 10، شماره 1 - ( 1-1394 )
جلد 10 شماره 1 صفحات 155-149 |
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Nuray F, Patterson R F. Epi-Cesaro Convergence. IJMSI 2015; 10 (1) :149-155
URL: http://ijmsi.ir/article-1-639-fa.html
URL: http://ijmsi.ir/article-1-639-fa.html
Epi-Cesaro Convergence. مجله علوم ریاضی و انفورماتیک. 1394; 10 (1) :149-155
چکیده:
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.
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