by Andrei Verona & Maria E. Verona
 
 
Abstract. We show that Rockafellar's maximal monotonicity and maximal cyclical monotonicity theorems for subdifferentials can be reformulated and proved for the family of  approximate subdifferentials of a proper, lower semicontinuous, convex function defined on a normed space. We also show that the subdifferential map of a lower semicontinuous convex function defined on a Banach space is both locally maximal monotone and maximal monotone locally.