2012/03/06 by Jonathan M. Borwein, Borwein, Jonathan M., Liangjin Yao +1 · 1 citation
Computer Science · Mathematics · #Optimization and Variational Analysis #Advanced Banach Space Theory #Contact Mechanics and Variational Inequalities
paper · pdf · doi:10.48550/arxiv.1203.1101
In this paper, we consider the structure of maximally monotone operators in Banach space whose domains have nonempty interior and we present new and explicit structure formulas for such operators. Along the way, we provide new proofs of the norm-to-weak* closedness and of property (Q) for these operators (as recently proven by Voisei). Various applications and limiting examples are given.