In the present note we consider the definitions and properties of locally pseudo- and quasiconvex functions and give a sufficient condition for a locally quasiconvex function at a point x ∈ Rn, to be also locally pseudoconvex at the same point.
@article{urn:eudml:doc:40588,
title = {A note on quasiconvex functions that are pseudoconvex.},
journal = {Trabajos de Investigaci\'on Operativa},
volume = {2},
year = {1987},
pages = {111-116},
zbl = {0647.90079},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:40588}
}
Giorgi, Giorgio. A note on quasiconvex functions that are pseudoconvex.. Trabajos de Investigación Operativa, Tome 2 (1987) pp. 111-116. http://gdmltest.u-ga.fr/item/urn:eudml:doc:40588/