ε-Enlargements of Maximal Monotone Operators in Banach Spaces
- Cite this article as:
- Burachik, R.S. & Svaiter, B.F. Set-Valued Analysis (1999) 7: 117. doi:10.1023/A:1008730230603
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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.