论文标题
凸功能的近端确定
Proximal determination of convex functions
论文作者
论文摘要
我们通过其近端映射为凸函数提供比较原理。因此，我们证明近端操作员的规范确定凸的功能达到常数。从近端运算符方面，新的Lipschitzianity表征了新的特征。
We provide comparison principles for convex functions through its proximal mappings. Consequently, we prove that the norm of the proximal operator determines a convex the function up to a constant. A new characterization of Lipschitzianity in terms of the proximal operator is given.
