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Rotundity, smoothness and duality. (English) Zbl 1166.49302

Summary: The duality between smoothness and rotundity of functions is studied in a nonlinear abstract framework. Here smoothness is enlarged to subdifferentiability properties and rotundity is formulated by means of approximation properties.

MSC:

49J52 Nonsmooth analysis
49N15 Duality theory (optimization)
46N10 Applications of functional analysis in optimization, convex analysis, mathematical programming, economics
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