Pseudo metric subregularity and its stability in Asplund spaces

Autor:	Binbin Zhang, Jiangxing Zhu
Rok vydání:	2020
Předmět:	Pure mathematics General Mathematics Mathematics::Optimization and Control Subderivative Operator theory Potential theory Theoretical Computer Science symbols.namesake Fourier analysis symbols Variational analysis Mathematics::Representation Theory Analysis Mathematics
Zdroj:	Positivity. 25:469-494
ISSN:	1572-9281 1385-1292
DOI:	10.1007/s11117-020-00772-8
Popis:	As a variant of metric subregularity, pseudo metric subregularity is studied via general limit critical sets using the techniques of variational analysis. In terms of limit critical sets, we provide some sufficient conditions for the validity of pseudo/Holder metric subregularity. Usually, the property of pseudo metric subregularity is not stable under small smooth perturbation. We provide a characterization for pseudo metric subregularity to be stable under small $$C^{1,p}$$ smooth perturbation. In particular, some existing results on metric subregularity are extended to pseudo metric subregularity. Finally, we consider the pseudo weak sharp minimizer of a proper lower semicontinuous function and its relation with pseudo metric subregularity of the corresponding subdifferential mapping.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::57b292c2e39b0a2db294d36b4da5b098 https://doi.org/10.1007/s11117-020-00772-8 Zobrazit plný text záznamu Full text from SpringerLink