Geodesic
NORM-TO-WEAK UPPER SEMICONTINUOUS MONOTONE OPERATORS ARE GENERICALLY STRONGLY CONTINUOUS
Acta mathematica Universitatis Comenianae, Tome 61 (1992) no. 1 
L. Vesely. NORM-TO-WEAK UPPER SEMICONTINUOUS MONOTONE OPERATORS ARE GENERICALLY STRONGLY CONTINUOUS. Acta mathematica Universitatis Comenianae, Tome 61 (1992) no. 1. http://geodesic.mathdoc.fr/item/AMUC_1992_61_1_a2/
@article{AMUC_1992_61_1_a2,
     author = {L. Vesely},
     title = {NORM-TO-WEAK {UPPER} {SEMICONTINUOUS} {MONOTONE} {OPERATORS} {ARE} {GENERICALLY} {STRONGLY} {CONTINUOUS}},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {1992},
     volume = {61},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_1992_61_1_a2/}
}
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Voir la notice de l'article provenant de la source Comenius University

In any Banach space a monotone operator with a norm-to-weak upper semicontinuous multivalued selection on an open set $D$ is singlevalued and norm-to-norm upper semicontinuous at the points of a dense $G_\delta$ subset of $D$.