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Compact,convex sets in R n and a new banach lattice. II.- Application: An approximation problem. |
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| Authors: | Beatriz Margolis |
| Institution: | 20 rue Bardinet, Paris, 75014, France |
| Abstract: | We develop a calculus structure in the Banach lattice introduced in a preceding paper, having in mind an approximation problem appearing in non-smooth optimization. We show that the essential results depend as much on the order structure as on the analytical one. |
| Keywords: | AMS 1980 Subject Classification: Primary: 41 A 65 AMS 1980 Subject Classification: Secondary: 46 B 30 AMS 1980 Subject Classification: Secondary: 52 A 07 AMS 1980 Subject Classification: Secondary: 26 E 25 Graph convexity Upper semi-Lipschitz Eclipsing Upper differentiable First order approximation |