Turkish Journal of Mathematics
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.
DOI
10.3906/mat-2010-22
Keywords
Second-order weak subgradient, second-order weak subdifferential, lower semicontinuity, lower Lipschitz function
First Page
955
Last Page
960
Recommended Citation
İNCEOĞLU, G (2021). Some properties of second-order weak subdifferentials. Turkish Journal of Mathematics 45 (2): 955-960. https://doi.org/10.3906/mat-2010-22
