Zeitschrift für Operations Research

, Volume 35, Issue 5, pp 401–424 | Cite as

Solving nonsmooth inclusions in the convex case

  • H. The Phung
  • P. Huy Dien


We give a method for solving the inclusion 0εF(x), whereF is a set-valued map from a Hilbert space into a Banach space, whose graph is a closed convex set. The given algorithms are convergent if the problem is consistent and terminate after a finite number of iterations if otherwise. A convergence rate of geometrical progression is also obtained if a regularity condition of the Robinson's type is assumed.

Key words

Convex set-valued map support function inclusion convex inequality subgradient method 


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Copyright information

© Physica-Verlag 1991

Authors and Affiliations

  • H. The Phung
    • 1
  • P. Huy Dien
    • 1
  1. 1.Institute of MathematicsBo Ho, HanoVietnam

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