Volume 10, Issue 1 (4-2015)
IJMSI 2015, 10(1): 149-155 |
Back to browse issues page
Download citation:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:
Nuray F, Patterson R F. Epi-Cesaro Convergence. IJMSI 2015; 10 (1) :149-155
URL: http://ijmsi.ir/article-1-639-en.html
URL: http://ijmsi.ir/article-1-639-en.html
Abstract:
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.
Keywords: Cesaro convergence, Epi-convergence, Epi-Cesaro convergence, Lower semicontinuous function.
Type of Study: Research paper |
Subject:
General
| Rights and permissions | |
 |
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License. |
