Metric subregularity for nonclosed convex multifunctions in normed spaces

Xi Yin Zheng; Kung Fu Ng

ESAIM: Control, Optimisation and Calculus of Variations (2010)

  • Volume: 16, Issue: 3, page 601-617
  • ISSN: 1292-8119

Abstract

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In terms of the normal cone and the coderivative, we provide some necessary and/or sufficient conditions of metric subregularity for (not necessarily closed) convex multifunctions in normed spaces. As applications, we present some error bound results for (not necessarily lower semicontinuous) convex functions on normed spaces. These results improve and extend some existing error bound results.

How to cite

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Zheng, Xi Yin, and Ng, Kung Fu. "Metric subregularity for nonclosed convex multifunctions in normed spaces." ESAIM: Control, Optimisation and Calculus of Variations 16.3 (2010): 601-617. <http://eudml.org/doc/250749>.

@article{Zheng2010,
abstract = { In terms of the normal cone and the coderivative, we provide some necessary and/or sufficient conditions of metric subregularity for (not necessarily closed) convex multifunctions in normed spaces. As applications, we present some error bound results for (not necessarily lower semicontinuous) convex functions on normed spaces. These results improve and extend some existing error bound results. },
author = {Zheng, Xi Yin, Ng, Kung Fu},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Metric subregularity; multifunction; normal cone; coderivative; metric subregularity; convex multifunction},
language = {eng},
month = {7},
number = {3},
pages = {601-617},
publisher = {EDP Sciences},
title = {Metric subregularity for nonclosed convex multifunctions in normed spaces},
url = {http://eudml.org/doc/250749},
volume = {16},
year = {2010},
}

TY - JOUR
AU - Zheng, Xi Yin
AU - Ng, Kung Fu
TI - Metric subregularity for nonclosed convex multifunctions in normed spaces
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2010/7//
PB - EDP Sciences
VL - 16
IS - 3
SP - 601
EP - 617
AB - In terms of the normal cone and the coderivative, we provide some necessary and/or sufficient conditions of metric subregularity for (not necessarily closed) convex multifunctions in normed spaces. As applications, we present some error bound results for (not necessarily lower semicontinuous) convex functions on normed spaces. These results improve and extend some existing error bound results.
LA - eng
KW - Metric subregularity; multifunction; normal cone; coderivative; metric subregularity; convex multifunction
UR - http://eudml.org/doc/250749
ER -

References

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