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Epi-cesaro convergence

By Fatih Nuray and Richard Patterson


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

Topics: Cesaro Convergence, Epi-Convergence, Epi-Cesaro Convergence, Lower Semicontinuous Function
Year: 2015
DOI identifier: 10.7508/ijmsi.2015.01.012
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