2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/161896We are concerned with surjectivity of perturbations of maximal monotone operators in non-reflexive Banach spaces. While in a reflexive setting, a classical surjectivity result due to Rockafellar gives a necessary and sufficient condition to maximal monotonicity, in a non-reflexive space we characterize maximality using a ``enlarged'' version of the duality mapping, introduced previously by Gossez.Submitted for publication in JNA in May 7, 2008Functional AnalysisOptimization and Control47H05; 47H14, 49J52; 47N10;text