A construction of a maximal monotone extension of a monotone map

Jean-Pierre Crouzeix, Eladio Ocaña, Wilfredo Sosa · ESAIM Proceedings · 2007

A proof based on the axiom of choice shows that any monotone map has maximal monotone extensions but this proof is not constructive. In this paper, we give a construction of such an extension. The process is based on some density properties of (maximal) monotone maps given before.

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