2008/05/29 by M. Marques Alves, B. F. Svaiter, Alves, M. Marques +1
Computer Science · Mathematics · #Optimization and Variational Analysis #Contact Mechanics and Variational Inequalities #Fixed Point Theorems Analysis
paper · pdf · doi:10.48550/arxiv.0805.4609
We 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.