Enlarged Inclusion of Subdifferentials

[摘要] This paper studies the integration of inclusion of subdifferentials. Under various verifiable conditions, we obtain that if two proper lowersemicontinuous functions $f$ and $g$ have the subdifferential of $f$included in the $gamma$-enlargement of the subdifferential of $g$, thenthe difference of those functions is $ gamma$-Lipschitz over theireffective domain.

[学科分类] 数学（综合）

[关键词] subdifferential;directionally regular function;approximate convex function;subdifferentially and directionally stable function