The relationships between Greenberg–Pierskalla’s subdifferential and some variants of it and semi-quasidifferentials of quasiconvex functions are studied in this paper. Also, some characterizations of quasiconvex functions in terms of semi-quasidifferentials and the connection between quasimonotonicity of semi-quasidifferentials and quasiconvexity are investigated.

中文翻译：

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使用半拟微分概念刻画非光滑拟凸函数及其格林伯格-皮尔斯卡亚次微分

本文研究了格林伯格-皮尔斯卡拉的次微分及其一些变体与拟凸函数的半拟微分之间的关​​系。此外，研究了准凸函数关于半拟微分的一些特征以及半拟微分的拟单调性与拟凸之间的联系。