Maximal Monotone Operators and Saddle Functions I

  • Eckehard Krauss

    Karl-Weierstraß-Institut für Mathematik, Berlin, Germany

Abstract

We investigate the monotone operator , which is defined via the subdifferential of a concave-convex saddle function . Our considerations are motivated by the fact that each maximal monotone operator possesses a representation of the form . We show that is maximal monotone if and only if is in a relaxed form skew-symmetric. This allows a generalization of results obtained previously.

Cite this article

Eckehard Krauss, Maximal Monotone Operators and Saddle Functions I. Z. Anal. Anwend. 5 (1986), no. 4, pp. 333–346

DOI 10.4171/ZAA/202