A sufficient condition for metric subregularity of set-valued mappings between Asplund spaces based on an outer-coderivative-like variational tool

Abstract

In this study, we examine the Generalized Equations' subregularity in Asplund spaces utilizing a novel approach. We obtain sufficient conditions for a family of multifunctions to be metrically subregular which are stronger than the known sufficient conditions thanks to a modification of the well-known coderivative concept and of the partial sequential normal compactness.

Keywords

• Nonsmooth analysis
• Metric regularity
• Error bounds
• Stability analysis
• Coderivative