Pith. sign in

REVIEW

Local Maximal Monotonicity in Variational Analysis and Optimization

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2308.14193 v1 pith:BOJC6ZK6 submitted 2023-08-27 math.OC

Pham Duy Khanh , Vu Vinh Huy Khoa , Boris S. Mordukhovich , Vo Thanh Phat This is my paper · ORCID
classification math.OC
keywords analysischaracterizationsnotionsvariationallocalmaximalmonotonicityoptimization
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

The paper is devoted to a systematic study and characterizations of notions of local maximal monotonicity and their strong counterparts for set-valued operators that appear in variational analysis, optimization, and their applications. We obtain novel resolvent characterizations of these notions together with efficient conditions for their preservation under summation in broad infinite-dimensional settings. Further characterizations of these notions are derived by using generalized differentiation of variational analysis in the framework of Hilbert spaces.

Discussion (0). Continue with ORCID to comment.

Pith tools