Stable Minimizers of $\varphi$-Regular Functions
研究了φ-正则函数满足φ-增长条件和一致φ-增长条件的性质，并建立了这些条件与其次微分映射的强度量次正则性/正则性之间的关系，推广了关于稳定二阶局部极小点的已有结果。
In this paper, given an admissible function $\varphi$, we consider $\varphi$-regularity and find it to be a suitable qualification for a function to satisfy the $\varphi$-growth condition and uniform $\varphi$-growth condition. We establish the relationships between $\varphi$-growth condition/uniform $\varphi$-growth condition of a $\varphi$-regular function and the corresponding strong metric subregularity/regularity of its subdifferential mapping. The results presented in this paper improve and generalize some existing ones on stable second-order local minimizers in the literature.