Lower semicontinuous convex functions

  • Robert R. Phelps
Part of the Lecture Notes in Mathematics book series (LNM, volume 1364)


Our differentiability results for convex functions made heavy and consistent use of continuity, but in both theoretical and applied aspects of convex functions, it is sometimes desirable to weaken this hypothesis. Lower semicontinuity is precisely what is needed.


Banach Space Maximal Monotone Nonempty Closed Convex Subset Support Point Maximal Monotone Operator 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1989

Authors and Affiliations

  • Robert R. Phelps
    • 1
  1. 1.Department of Mathematics GN-50University of WashingtonSeattleUSA

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