On computation of limiting coderivatives of the normal-cone mapping to inequality systems and their applications

Abstract

The paper concerns the computation of the limiting coderivative of the normal-cone mapping related to inequality constraints under weak qualification conditions. The obtained results are applied to verify the Aubin property of solution maps to a class of parameterized generalized equations.

Keywords:

• limiting normal cone
• metric regularity and subregularity
• 2-regularity
• parameterized generalized equations

AMS Subject Classifications:

• 49J53
• 90C31
• 90C46

Acknowledgements

The authors would like to express their gratitude to the reviewer for his/her careful reading and numerous important suggestions.

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

The research of the first author was supported by the Austrian Science Fund (FWF) [grant number P26132-N25]. The research of the second author was supported by the Grant Agency of the Czech Republic [project P402/12/1309]; the Australian Research Council, [project DP110102011].