Turkish Journal of Mathematics
DOI
10.3906/mat-2010-22
Abstract
This article deals with second-order weak subdifferential. Firstly, the concept of second-order weak subdifferential is defined. Next, some of its properties are investigated. The necessary and sufficient condition for a second-order weakly subdifferentiable function to have a global minimum has been proved. It has been proved that a second-order weakly subdifferentiable function is both lower semicontinuous and lower Lipschitz.
Keywords
Second-order weak subgradient, second-order weak subdifferential, lower semicontinuity, lower Lipschitz function
First Page
955
Last Page
960
Recommended Citation
İNCEOĞLU, GONCA
(2021)
"Some properties of second-order weak subdifferentials,"
Turkish Journal of Mathematics: Vol. 45:
No.
2, Article 23.
https://doi.org/10.3906/mat-2010-22
Available at:
https://journals.tubitak.gov.tr/math/vol45/iss2/23
