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Chou, J. H.; Hsia, Wei-Shen; Lee, Tan-Yu

Epigraphs of convex set functions. (English) Zbl 0599.49014

J. Math. Anal. Appl. 118, 247-254 (1986).
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

Cited in 25 Documents

MSC:

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

Keywords:

convex set function; epigraph; Fenchel duality theorem
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\textit{J. H. Chou} et al., J. Math. Anal. Appl. 118, 247--254 (1986; Zbl 0599.49014)
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References:

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