Subdifferential Test for Optimality
classification
🧮 math.OC
math.FA
keywords
subdifferentialconditionmonotoneoptimalitysufficientabsorbingbanachconcept
read the original abstract
We provide a first-order necessary and sufficient condition for optimality of lower semicontinuous functions on Banach spaces using the concept of subdifferential. From the sufficient condition we derive that any subdifferential operator is monotone absorbing, hence maximal monotone when the function is convex.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.