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Description
Recently, we discussed optimality conditions for quasiconvex programming by introducing ‘Q-subdifferential’, which is a notion of differential of quasiconvex functions. In this paper, we investigate basic and fundamental properties of the Q-subdifferential. Especially, we show results of a chain rule for composition with non-decreasing functions, monotonicity of the Qsubdifferential, mean-value theorem, a sufficient condition for a global minimizer for quasiconvex programming, and the calculus of the Q-subdifferential of the supremum of quasiconvex functions.
Subject
quasiconvex function
subdifferential
monotonicity
mean-value theorem
Journal Title
Journal of Mathematical Analysis and Applications
Volume
384
Issue
2
Start Page
677
End Page
682
ISSN
0022247X
Published Date
2011-12-15
DOI
DOI Date
2015-07-13
NCID
AA00252847
Publisher
Elsevier
NII Type
Journal Article
Format
PDF
Rights
Copyright © 2011 Elsevier Inc. All rights reserved.
Text Version
著者版
Gyoseki ID
e17390
OAI-PMH Set
Interdisciplinary Graduate School of Science and Engineering
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