泛函的一种次微分及其应用

A kind of subdifferentials and their application

定义了赋范线性空间上泛函的一种新型集值导数(γ-次微分),讨论了它的一些性质及其在非光滑数学规划问题上的一些应用,得到了一些新的结果,这些结果改进和推广了已有的相关结论,对于进一步研究此问题提供了可靠的理论依据.

A kind of set-valued differential （γ-subdifferential） of functionals in normed linear space was defined, and its properties and application to nonsmooth multiobjective programming problem was discussed, so that some new results were obtained. These results were used to improve and extend relevant conclusion available and could provide a reliable theoretical basis for further studying this problem.