Metric Regularity of the Sum of Multifunctions and Applications
Huynh Van Ngai, Huu Tron Nguyen (XLIM), Michel Thera (XLIM)

TL;DR
This paper investigates the metric regularity of the sum of multifunctions using error bounds and epigraphical multifunctions, extending recent results in variational analysis.
Contribution
It introduces a novel approach based on the metric regularity of epigraphical multifunctions to analyze the sum of multifunctions, generalizing previous findings.
Findings
Established new conditions for metric regularity of multifunction sums
Extended existing results by Durea and Strugariu
Applied the theory to variational systems
Abstract
In this work, we use the theory of error bounds to study metric regularity of the sum of two multifunctions, as well as some important properties of variational systems. We use an approach based on the metric regularity of epigraphical multifunctions. Our results subsume some recent results by Durea and Strugariu.
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
TopicsMacrophage Migration Inhibitory Factor · Optimization and Variational Analysis · Nonlinear Partial Differential Equations
