Journal of Applied Mathematics

  • J. Appl. Math.
  • Volume 2012, Special Issue (2012), Article ID 185249, 16 pages.

Metric Subregularity for Subsmooth Generalized Constraint Equations in Banach Spaces

He Qinghai, Yang Ji, and Zhang Binbin

Full-text: Open access

Abstract

This paper is devoted to metric subregularity of a kind of generalized constraint equations. In particular, in terms of coderivatives and normal cones, we provide some necessary and sufficient conditions for subsmooth generalized constraint equations to be metrically subregular and strongly metrically subregular in general Banach spaces and Asplund spaces, respectively.

Article information

Source
J. Appl. Math., Volume 2012, Special Issue (2012), Article ID 185249, 16 pages.

Dates
First available in Project Euclid: 16 July 2013

Permanent link to this document
https://projecteuclid.org/euclid.jam/1374003984

Digital Object Identifier
doi:10.1155/2012/185249

Mathematical Reviews number (MathSciNet)
MR3005211

Zentralblatt MATH identifier
1268.49004

Citation

Qinghai, He; Ji, Yang; Binbin, Zhang. Metric Subregularity for Subsmooth Generalized Constraint Equations in Banach Spaces. J. Appl. Math. 2012, Special Issue (2012), Article ID 185249, 16 pages. doi:10.1155/2012/185249. https://projecteuclid.org/euclid.jam/1374003984


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