Penot, Jean-Paul; Volle, Michel On quasi-convex duality. (English) Zbl 0717.90058 Math. Oper. Res. 15, No. 4, 597-625 (1990). Summary: The familiar Fenchel-Moreau-Rockafellar duality scheme deduced from a conjugation is shown to be applicable to quasi-convex problems. Here quasi-affine functions take the place of affine functions. The links with other quasi-convex dualities are examined. Cited in 1 ReviewCited in 75 Documents MSC: 90C26 Nonconvex programming, global optimization 49N15 Duality theory (optimization) 49J52 Nonsmooth analysis 49J45 Methods involving semicontinuity and convergence; relaxation 26B25 Convexity of real functions of several variables, generalizations Keywords:Fenchel-Moreau-Rockafellar duality scheme; quasi-convex problems; quasi- affine functions; quasi-convex dualities PDFBibTeX XMLCite \textit{J.-P. Penot} and \textit{M. Volle}, Math. Oper. Res. 15, No. 4, 597--625 (1990; Zbl 0717.90058) Full Text: DOI