We introduce a subfamily of additive enlargements of a maximally monotone operator T. Our definition is inspired by the seminal work of Fitzpatrick presented in 1988. These enlargements are a subfamily of the family of enlargements  introduced by Svaiter in 2000. For the case T = ∂f, we prove that some members of the subfamily are smaller than the ɛ-subdifferential enlargement. For this choice of T, we can construct a specific  enlargement which coincides with the ɛ-subdifferential.Since these enlargements are all additive, they can be seen as structurally closer to the ɛ-subdifferential enlargement.

Joint work with Juan Enrique Martínez-Legaz (Universitat Autonoma de Barcelona), Mahboubeh Rezaei (University of Isfahan, Iran), and Michel Théra (University of Limoges).

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