Recent progress on Monotone Operator Theory
Jonathan M. Borwein, Liangjin Yao
TL;DR
This paper surveys recent advances in the theory of maximally monotone operators within Banach spaces, highlighting new results, extensions, and open questions in the field.
Contribution
It provides a comprehensive overview of recent progress and extends several key results in monotone operator theory.
Findings
Summarizes recent developments in maximally monotone operators.
Extends existing theorems in Banach space theory.
Identifies open problems for future research.
Abstract
In this paper, we survey recent progress on the theory of maximally monotone operators in general Banach space. We also extend various of the results and leave some open questions.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Banach Space Theory · Holomorphic and Operator Theory · Optimization and Variational Analysis