Maximal monotone operators with non-maximal graphical limit
Functional Analysis
2021-07-22 v1 Optimization and Control
Abstract
We present a counterexample showing that the graphical limit of maximally monotone operators might not be maximally monotone. We also characterize the directional differentiability of the resolvent of an operator in terms of existence and maximal monotonicity of the proto-derivative of .
Cite
@article{arxiv.2107.10055,
title = {Maximal monotone operators with non-maximal graphical limit},
author = {Gerd Wachsmuth},
journal= {arXiv preprint arXiv:2107.10055},
year = {2021}
}