A geometric approach to accretivity
Volume 181 / 2007
Studia Mathematica 181 (2007), 87-100
MSC: Primary 47H06; Secondary 47H05, 30C65.
DOI: 10.4064/sm181-1-6
Abstract
We establish a connection between generalized accretive operators introduced by F. E. Browder and the theory of quasisymmetric mappings in Banach spaces pioneered by J. Väisälä. The interplay of the two fields allows for geometric proofs of continuity, differentiability, and surjectivity of generalized accretive operators.