Strongly adequate functions on Banach spaces (Q2850726)
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scientific article; zbMATH DE number 6212962
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Strongly adequate functions on Banach spaces |
scientific article; zbMATH DE number 6212962 |
Statements
30 September 2013
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Legendre-Fenchel duality
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well-posedness
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essential firm subdifferentiability
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essential strong convexity
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essential Fréchet differentiability
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total convexity
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\(E\)-space
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math.OC
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0.9101281
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0.89238566
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0.8883678
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0.8855481
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0.88273686
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Strongly adequate functions on Banach spaces (English)
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Building upon previous works, and motivated by the Legendre-Fenchel duality and the relation between Fréchet differentiability and Tychonoff well-posedness, the authors introduce the classes of strongly adequate and firmly subdifferentiable (convex) functions, and study connections with previously defined properties of convex functions of similar flavour.
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