On geodesic \(E\)-convex sets, geodesic \(E\)-convex functions and \(E\)-epigraphs (Q1934622)
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scientific article; zbMATH DE number 6132203
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On geodesic \(E\)-convex sets, geodesic \(E\)-convex functions and \(E\)-epigraphs |
scientific article; zbMATH DE number 6132203 |
Statements
On geodesic \(E\)-convex sets, geodesic \(E\)-convex functions and \(E\)-epigraphs (English)
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29 January 2013
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The authors generalize the concepts of \(E\)-convexity for sets, quasiconvexity for functions and the corresponding epigraphs with respect to maps \(E\) between the same Euclidean space by replacing it with a Riemannian manifold, in order to obtain the geodesic notions.
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Riemannian manifold
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geodesic \(E\)-convex set
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\(E\)-quasiconvex function
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\(E\)-epigraph
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