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language |
eng
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Author | |
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.
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Subject | quasiconvex function
subdifferential
monotonicity
mean-value theorem
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Journal Title |
Journal of Mathematical Analysis and Applications
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Volume | 384
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Issue | 2
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Start Page | 677
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End Page | 682
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ISSN | 0022247X
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Published Date | 2011-12-15
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DOI | |
DOI Date | 2015-07-13
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NCID | AA00252847
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Publisher | Elsevier
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NII Type |
Journal Article
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Format |
PDF
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Rights | Copyright © 2011 Elsevier Inc. All rights reserved.
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Text Version |
著者版
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Gyoseki ID | e17390
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OAI-PMH Set |
Interdisciplinary Graduate School of Science and Engineering
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