Calculus rules for proximal ε-subdifferentials and inexact proximity operators for weakly convex functions

11/26/2022

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by   Ewa Bednarczuk, et al.

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We investigate inexact proximity operators for weakly convex functions. To this aim, we derive sum rules for proximal ϵ-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 ϵ-subdifferentials.