Abstract
A generalization of Rockafellar's surjectivity theorem was provided in [14], 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.
Original language | English |
---|---|
Pages (from-to) | 545-576 |
Journal | Journal of Convex Analysis |
Volume | 18 |
Issue number | 2 |
Publication status | Published - 5 May 2011 |
Keywords
- Bidual
- Convex representation
- Fenchel duality
- Monotone operator
- Surjectivity
- Type (d)