NORM-TO-WEAK UPPER SEMICONTINUOUS MONOTONE OPERATORS ARE GENERICALLY STRONGLY CONTINUOUS
L. VESELY
Abstract.
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 $D$.
Compressed Postscript 
