| File | |
| Title |
Subdifferential calculus for a quasiconvex function with generator
|
| Creator | |
| Source Title |
Journal of Mathematical Analysis and Applications
|
| Volume | 384 |
| Issue | 2 |
| Start Page | 677 |
| End Page | 682 |
| Journal Identifire |
ISSN 0022247X
|
| Descriptions |
Other
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.
|
| Subjects |
quasiconvex function
subdifferential
monotonicity
mean-value theorem
|
| Language |
eng
|
| Resource Type | journal article |
| Publisher |
Elsevier
|
| Date of Issued | 2011-12-15 |
| Rights |
Copyright © 2011 Elsevier Inc. All rights reserved.
|
| Publish Type | Accepted Manuscript |
| Access Rights | open access |
| Relation |
[NCID]
AA00252847
|
