{"id":26875,"date":"2023-12-01T12:25:34","date_gmt":"2023-12-01T11:25:34","guid":{"rendered":"https:\/\/cio.umh.es\/?p=26875"},"modified":"2024-02-12T12:27:43","modified_gmt":"2024-02-12T11:27:43","slug":"j-camacho-m-j-canovas-m-a-lopez-j-parra-2023-robust-and-continuous-metric-subregularity-for-linear-inequality-systems-computational-optimization-and-applications-86-967-988","status":"publish","type":"post","link":"https:\/\/cio.umh.es\/en\/2023\/12\/01\/j-camacho-m-j-canovas-m-a-lopez-j-parra-2023-robust-and-continuous-metric-subregularity-for-linear-inequality-systems-computational-optimization-and-applications-86-967-988\/","title":{"rendered":"J. Camacho, M. J. C\u00e1novas, M. A. L\u00f3pez, &amp; J. Parra (2023). Robust and continuous metric subregularity for linear inequality systems. Computational Optimization and Applications, 86, 967-988."},"content":{"rendered":"<p><strong>J.Camacho (Operations Research Center, University Miguel Hern\u00e1ndez of Elche), M.J. C\u00e1novas (Operations Research Center, University Miguel Hern\u00e1ndez of Elche), M.A. L\u00f3pez (Department of Mathematics, University of Alicante; CIAO, Federation University, Ballarat, Australia) and J.Parra (Operations Research Center, University Miguel Hern\u00e1ndez of Elche)<\/strong><\/p>\n<p><strong>Abstract:<\/strong><\/p>\n<p><span>This paper introduces two new variational properties, robust and continuous metric subregularity, for finite linear inequality systems under data perturbations. The motivation of this study goes back to the seminal work by Dontchev, Lewis, and Rockafellar (2003) on the radius of metric regularity. In contrast to the metric regularity, the unstable continuity behavoir of the (always finite) metric subregularity modulus leads us to consider the aforementioned properties. After characterizing both of them, the radius of robust metric subregularity is computed and some insights on the radius of continuous metric subregularity are provided.<\/span><\/p>","protected":false},"excerpt":{"rendered":"<p>J.Camacho (Operations Research Center, University Miguel Hern\u00e1ndez of Elche), M.J. C\u00e1novas (Operations Research Center, University Miguel Hern\u00e1ndez of Elche), M.A. L\u00f3pez (Department of Mathematics, University of Alicante; CIAO, Federation University, Ballarat, Australia) and J.Parra (Operations Research Center, University Miguel Hern\u00e1ndez of Elche)<br \/>\nAbstract:<br \/>\nThis paper introduces two new variational properties, robust and continuous metric subregularity, for finite [&#8230;]<\/p>","protected":false},"author":11048,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_links_to":"","_links_to_target":""},"categories":[369888,75,7834],"tags":[397927,374272,382749],"_links":{"self":[{"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/posts\/26875"}],"collection":[{"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/users\/11048"}],"replies":[{"embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/comments?post=26875"}],"version-history":[{"count":0,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/posts\/26875\/revisions"}],"wp:attachment":[{"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/media?parent=26875"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/categories?post=26875"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/tags?post=26875"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}