Characterisations of quasiconvex functions
- 1 December 1993
- journal article
- research article
- Published by Cambridge University Press (CUP) in Bulletin of the Australian Mathematical Society
- Vol. 48 (3), 393-406
- https://doi.org/10.1017/s0004972700015859
Abstract
In this paper we introduce the concept of quasimonotone maps and prove that a lower semicontinuous function on an infinite dimensional space is quasiconvex if and only if its generalised subdifferential or its directional derivative is quasimonotone.Keywords
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