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Paper Title:
Pseudomonotonicity and Quasimonotonicity
by Translations versus Monotonicity in Hilbert Spaces
Author(s):
George Isac and Dumitru Motreanu
Department of
Mathematics, Royal Military College of Canada, P.O. Box 17000 Stn Forces
Kingston, Ontario, Canada, K7k 7b4.
gisac@juno.com
Département de Mathématiques, Université de Perpignan, 66860
Perpignan, France.
motreanu@univ-perp.fr
Abstract:
Let be a Gâteaux differentiable mapping on
an open convex subset
of a
Hilbert space
. If there exists a straight line
such that
is pseudomonotone for any
then
is monotone. Related results using a
regularity condition are given.
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