Geodesic
A construction of a maximal monotone extension of a monotone map
Jean-Pierre Crouzeix1 ; Eladio Ocaña Anaya2 ; Wilfredo Sosa2
1 LIMOS, Université Blaise Pascal, 63170 Aubière, France.
2 Instituto de Matematica y Ciencias Afines, Jr Ancash 536, Cercado de Lima, Lima, Perú.
ESAIM. Proceedings, Tome 20 (2007), pp. 93-104.

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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.
DOI : 10.1051/proc:072009

Jean-Pierre Crouzeix 1 ; Eladio Ocaña Anaya 2 ; Wilfredo Sosa 2

1 LIMOS, Université Blaise Pascal, 63170 Aubière, France.
2 Instituto de Matematica y Ciencias Afines, Jr Ancash 536, Cercado de Lima, Lima, Perú. 
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Jean-Pierre Crouzeix; Eladio Ocaña Anaya; Wilfredo Sosa. A construction of a maximal monotone extension of a monotone map. ESAIM. Proceedings, Tome 20 (2007), pp. 93-104. doi : 10.1051/proc:072009. http://geodesic.mathdoc.fr/articles/10.1051/proc:072009/

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