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Conjugate quasiconvex nonnegative functions. (English) Zbl 0840.90120
Summary: A conjugacy operation defined on the complete lattice $$Q(X)$$ of all nonnegative quasiconvex lower semicontinuous functions defined on locally convex space $$X$$ and vanishing at zero is considered. Properties of this operation and of the lattice $$Q(X)$$ are outlined. In particular, a set of extreme rays of $$Q(X)$$ which generates this conic lattice by means of the operation ‘sup’ is described, the connection between summation and the conjugacy operation is established.

##### MSC:
 90C30 Nonlinear programming 49J52 Nonsmooth analysis
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##### References:
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