Nonsmooth \(B\)-preinvex functions.
type: Item
instance of: scholarly article
title: Nonsmooth \(B\)-preinvex functions.
zbMATH Open document ID: 1038.26007
author: Do Van Luu
author: Le Minh Tung
published in: Acta Mathematica Vietnamica
publication date: 2002-01-01T00:00:00Z
review text: The class of \(B\)-preinvex functions introduced by \textit{S. K. Suneja, C. Singh} and \textit{C. R. Bector} [J. Optim. Theory Appl. 76, No. 3, 577--587 (1993; Zbl 0802.49026)] is characterized by a property, which is reminiscent of quasiconvexity. For locally Lipschitz functions, a necessary and sufficient condition for \(B\)-preinvexity is obtained in terms of Clarke's generalized gradients.
Mathematics Subject Classification ID: 26A51
Mathematics Subject Classification ID: 49J52
Mathematics Subject Classification ID: 90C26
zbMATH DE Number: 1809834
zbMATH Keywords: preinvex function
zbMATH Keywords: nonsmooth analysis
zbMATH Keywords: Clarke's generalized gradient
reviewed by: Juan-Enrique Martínez-Legaz
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1809834