Abstract
Given a maximal monotone operator T in a Banach space, we consider an enlargement Tε, in which monotonicity is lost up to ε, in a very similar way to the ε-subdifferential of a convex function. We establish in this general framework some theoretical properties of Tε, like a transportation formula, local Lipschitz continuity, local boundedness, and a Brøndsted–Rockafellar property.
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Burachik, R.S., Svaiter, B.F. ε-Enlargements of Maximal Monotone Operators in Banach Spaces. Set-Valued Analysis 7, 117–132 (1999). https://doi.org/10.1023/A:1008730230603
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DOI: https://doi.org/10.1023/A:1008730230603