Some remarks about strictly pseudoconvex functions with respect to the Clarke--Rockafellar subdifferential
Lobachevskii journal of mathematics, Tome 24 (2006), pp. 55-62
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Using the notion of radially Clarke–Rockafellar subdifferentiable functions (RCRS-functions), we characterize strictly pseudoconvex functions with respect to the Clarke–Rockafellar subdifferential in two different ways, and we study a maximization problem involving RCRS-strictly pseudoconvex functions over a convex set.
Keywords:
strictly pseudoconvex functions, RCRS-functions, strongly RCRS-functions.
@article{LJM_2006_24_a3,
author = {S. Lahrech and A. Jaddar and A. Ouahab and A. Mbarki},
title = {Some remarks about strictly pseudoconvex functions with respect to the {Clarke--Rockafellar} subdifferential},
journal = {Lobachevskii journal of mathematics},
pages = {55--62},
publisher = {mathdoc},
volume = {24},
year = {2006},
language = {en},
url = {http://geodesic.mathdoc.fr/item/LJM_2006_24_a3/}
}
TY - JOUR AU - S. Lahrech AU - A. Jaddar AU - A. Ouahab AU - A. Mbarki TI - Some remarks about strictly pseudoconvex functions with respect to the Clarke--Rockafellar subdifferential JO - Lobachevskii journal of mathematics PY - 2006 SP - 55 EP - 62 VL - 24 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/LJM_2006_24_a3/ LA - en ID - LJM_2006_24_a3 ER -
%0 Journal Article %A S. Lahrech %A A. Jaddar %A A. Ouahab %A A. Mbarki %T Some remarks about strictly pseudoconvex functions with respect to the Clarke--Rockafellar subdifferential %J Lobachevskii journal of mathematics %D 2006 %P 55-62 %V 24 %I mathdoc %U http://geodesic.mathdoc.fr/item/LJM_2006_24_a3/ %G en %F LJM_2006_24_a3
S. Lahrech; A. Jaddar; A. Ouahab; A. Mbarki. Some remarks about strictly pseudoconvex functions with respect to the Clarke--Rockafellar subdifferential. Lobachevskii journal of mathematics, Tome 24 (2006), pp. 55-62. http://geodesic.mathdoc.fr/item/LJM_2006_24_a3/