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Strongly monotone operator

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In functional analysis, a set-valued mapping where X is a real Hilbert space is said to be strongly monotone if

This is analogous to the notion of strictly increasing for scalar-valued functions of one scalar argument.

See also

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References

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  • Zeidler. Applied Functional Analysis (AMS 108) p. 173
  • Bauschke, Heinz H.; Combettes, Patrick L. (28 February 2017). Convex Analysis and Monotone Operator Theory in Hilbert Spaces. CMS Books in Mathematics. Springer Science & Business Media. ISBN 978-3-319-48311-5. OCLC 1037059594.