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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm181-1-6,
author = {Leonid V. Kovalev},
title = {A geometric approach to accretivity},
journal = {Studia Mathematica},
volume = {178},
year = {2007},
pages = {87-100},
zbl = {1128.47049},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm181-1-6}
}
Leonid V. Kovalev. A geometric approach to accretivity. Studia Mathematica, Tome 178 (2007) pp. 87-100. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm181-1-6/