A generalization of Rockafellar's surjectivity theorem was provided in , replacing the duality mapping by any maximal monotone operator having finite-valued Fitzpatrick function. The present paper extends this result to the nonreflexive setting for maximal monotone operators of type (D) and refines the; finite-valuedness condition on the Fitzpatrick function. Moreover, a characterization of surjectivity properties for the sum of two maximal monotone operators of type (D) in terms of Fenchel duality is given. © Heldermann Verlag.
|Journal||Journal of Convex Analysis|
|Publication status||Published - 5 May 2011|
- Convex representation
- Fenchel duality
- Monotone operator
- Type (d)