Penot, Jean-Paul Rotundity, smoothness and duality. (English) Zbl 1166.49302 Control Cybern. 32, No. 4, 711-733 (2003). 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. Cited in 4 Documents MSC: 49J52 Nonsmooth analysis 49N15 Duality theory (optimization) 46N10 Applications of functional analysis in optimization, convex analysis, mathematical programming, economics Keywords:conjugacy; convexity; coupling; duality; estimates; generalized convexity; rotundity; smoothness; subdifferential PDFBibTeX XMLCite \textit{J.-P. Penot}, Control Cybern. 32, No. 4, 711--733 (2003; Zbl 1166.49302) Full Text: EuDML