Metric Regularity of the Sum of Multifunctions and Applications

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.

arXiv commentSubmitted to JOTA 37 pages