We investigate inexact proximity operators for weakly convex functions. To this aim, we derive sum rules for proximal {\epsilon}-subdifferentials, by incorporating the moduli of weak convexity of the functions into the respective formulas. This allows us to investigate inexact proximity operators for weakly convex functions in terms of proximal {\epsilon}-subdifferentials.

翻译：本文研究弱凸函数的非精确近端算子。为此，我们通过将函数的弱凸模量纳入相应公式中，推导了近端ε-次微分的求和法则。这使得我们能够利用近端ε-次微分来刻画弱凸函数的非精确近端算子。