| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4618021 | Journal of Mathematical Analysis and Applications | 2011 | 6 Pages |
Abstract
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 Q-subdifferential, 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
