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Inversion of real-valued functions and applications. (English) Zbl 0718.49012

Summary: This work is devoted to a systematic study of the inversion of nondecreasing one variable extended real-valued functions. Its results are preparatory for a new duality theory for quasiconvex problem [see the authors, Math. Oper. Res. 15, No.4, 597-625 (1990; Zbl 0717.90058)]. However the question arises in a variety of situations and as such deserves a separate treatment. Applications to topology, probability theory, monotone rearrangements, convex analysis are either pointed out or sketched.

MSC:

49J52 Nonsmooth analysis
49N15 Duality theory (optimization)

Citations:

Zbl 0717.90058
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References:

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