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On quasi-convex duality. (English) Zbl 0717.90058

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.

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
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