Title of article
Scalar characterizations of weakly cone-convex and weakly cone-quasiconvex functions Original Research Article
Author/Authors
Davide La Torre، نويسنده , , Nicolae Popovici، نويسنده , , Matteo Rocca، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
7
From page
1909
To page
1915
Abstract
The principal aim of this paper is to show that weakly cone-convex vector-valued functions, as well as weakly cone-quasiconvex vector-valued functions, can be characterized in terms of usual weakly convexity and weakly quasiconvexity of certain real-valued functions, defined by means of the extreme directions of the polar cone or by Gerstewitz’s scalarization functions.
Keywords
Weakly cone-convexity , Weakly cone-quasiconvexity , Gerstewitz’s scalarization functions , Polar cones , Extreme directions
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2010
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
862236
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