Abstract
A set-valued map T from a Banach space E into the subsets of its dual E* is said to be a monotone operator provided
whenever x, y c E and x* ε T(x), y* ε T(y). We do not require that T(x) be nonempty. The domain (or effective domain) D(T) of T is the set of all x ε E such that T(x) is nonempty.
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© 1989 Springer-Verlag Berlin Heidelberg
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Phelps, R.R. (1989). Monotone operators, subdifferentials and Asplund spaces. In: Convex Functions, Monotone Operators and Differentiability. Lecture Notes in Mathematics, vol 1364. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-21569-2_2
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DOI: https://doi.org/10.1007/978-3-662-21569-2_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-50735-2
Online ISBN: 978-3-662-21569-2
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