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Calculus rules for proximal ε-subdifferentials and inexact proximity operators for weakly convex functions (2211.14525v2)
Published 26 Nov 2022 in math.OC, cs.NA, and math.NA
Abstract: 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.