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Statements

Subject Item
dbr:Epi-convergence
rdfs:label
Epi-convergence
rdfs:comment
In mathematical analysis, epi-convergence is a type of convergence for real-valued and extended real-valued functions. Epi-convergence is important because it is the appropriate notion of convergence with which to approximate minimization problems in the field of mathematical optimization. The symmetric notion of is appropriate for maximization problems. Mosco convergence is a generalization of epi-convergence to infinite dimensional spaces.
dcterms:subject
dbc:Mathematical_series dbc:Topology_of_function_spaces dbc:Convergence_(mathematics)
dbo:wikiPageID
50531340
dbo:wikiPageRevisionID
967795621
dbo:wikiPageWikiLink
dbc:Convergence_(mathematics) dbr:Mosco_convergence dbr:Gamma_convergence dbr:Metric_space dbr:Uniform_convergence dbr:Real-valued_function dbr:Mathematics_of_Operations_Research dbr:Mathematical_analysis dbr:Roger_Wets dbc:Topology_of_function_spaces dbr:Epigraph_(mathematics) dbr:Convex_function dbr:R._Tyrrell_Rockafellar dbc:Mathematical_series dbr:Natural_number dbr:Pointwise_convergence dbr:Extended_real_numbers dbr:Kuratowski_convergence dbr:Mathematical_optimization dbr:Extended_real_number_line
owl:sameAs
wikidata:Q25305385 n11:2NzSw
dbo:abstract
In mathematical analysis, epi-convergence is a type of convergence for real-valued and extended real-valued functions. Epi-convergence is important because it is the appropriate notion of convergence with which to approximate minimization problems in the field of mathematical optimization. The symmetric notion of is appropriate for maximization problems. Mosco convergence is a generalization of epi-convergence to infinite dimensional spaces.
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wikipedia-en:Epi-convergence?oldid=967795621&ns=0
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6158
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wikipedia-en:Epi-convergence