Volume 49, Issue 4
Metric Subregularity for a Multifunction

Xi-Yin Zheng

J. Math. Study, 49 (2016), pp. 379-392.

Published online: 2016-12

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  • Abstract

Metric subregularity is an important and active area in modern variational analysis and nonsmooth optimization. Many existing results on the metric subregularity were established in terms of coderivatives of the multifunctions concerned. This note tries to give a survey of the metric subregularity theory related to the coderivatives and normal cones.

  • AMS Subject Headings

90C31, 90C25, 49J52

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

xyzheng@ynu.edu.cn (Xi-Yin Zheng)

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@Article{JMS-49-379, author = {Zheng , Xi-Yin}, title = {Metric Subregularity for a Multifunction}, journal = {Journal of Mathematical Study}, year = {2016}, volume = {49}, number = {4}, pages = {379--392}, abstract = {

Metric subregularity is an important and active area in modern variational analysis and nonsmooth optimization. Many existing results on the metric subregularity were established in terms of coderivatives of the multifunctions concerned. This note tries to give a survey of the metric subregularity theory related to the coderivatives and normal cones.

}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v49n4.16.03}, url = {http://global-sci.org/intro/article_detail/jms/10118.html} }
TY - JOUR T1 - Metric Subregularity for a Multifunction AU - Zheng , Xi-Yin JO - Journal of Mathematical Study VL - 4 SP - 379 EP - 392 PY - 2016 DA - 2016/12 SN - 49 DO - http://doi.org/10.4208/jms.v49n4.16.03 UR - https://global-sci.org/intro/article_detail/jms/10118.html KW - Metric subregularity, coderivative, normal cone. AB -

Metric subregularity is an important and active area in modern variational analysis and nonsmooth optimization. Many existing results on the metric subregularity were established in terms of coderivatives of the multifunctions concerned. This note tries to give a survey of the metric subregularity theory related to the coderivatives and normal cones.

Zheng , Xi-Yin. (2016). Metric Subregularity for a Multifunction. Journal of Mathematical Study. 49 (4). 379-392. doi:10.4208/jms.v49n4.16.03
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