Epigraphs of convex set functions. (English) Zbl 0599.49014

The authors characterize a convex set function with the aid of its epigraph and give a Fenchel duality theorem for such functions.
Reviewer: C.Zălinescu


49N15 Duality theory (optimization)
28A10 Real- or complex-valued set functions
49J45 Methods involving semicontinuity and convergence; relaxation
54C08 Weak and generalized continuity
54C60 Set-valued maps in general topology
90C25 Convex programming
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