Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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MAXIMAL MONOTONE OPERATORS IN THE ONE DIMENSIONAL CASE

  • Kum, Sang-Ho (Department of Applied Mathematics Korea Maritime University)
  • Published : 1997.05.01
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Abstract

Our basic concern in this paper is to investigate some geometric properties of the graph of a maximal monotone operator in the one dimensional case. Using a well-known theorem of Minty, we answer S. Simon's questions affirmatively in the one dimensional case. Further developments of these results are also treated. In addition, we provide a new proof of Rockafellar's characterization of maximal monotone operators on R: every maximal monotne operator from R to $2^R$ is the subdifferential of a proper convex lower semicontinuous function.

Keywords

References

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