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.

Más información

Título según WOS: A sufficient condition for metric subregularity of set-valued mappings between Asplund spaces based on an outer-coderivative-like variational tool
Título de la Revista: HELIYON
Volumen: 9
Número: 10
Editorial: Cell Press
Fecha de publicación: 2023
DOI:

10.1016/j.heliyon.2023.e20314

Notas: ISI