Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6418430 | Journal of Mathematical Analysis and Applications | 2014 | 16 Pages |
Abstract
Given metric spaces (X,d) and (Y,Ï), a partial map between X and Y is a pair (D,u), where D is a closed subset of X and u:DâY is a function. We introduce a general convergence notion for nets of such partial functions. While our initial description is variational in nature, we show that this description amounts to bornological convergence of the associated net of graphs as defined by Lechicki, Levi and Spakowski [26] with respect to a natural bornology on XÃY, and which places the work on continuous partial functions of Brandi, Ceppitelli, and Holá [12,13,20,21] in a general framework.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Gerald Beer, Agata Caserta, Giuseppe Di Maio, Roberto Lucchetti,