{"id":27025,"date":"2023-04-15T17:21:47","date_gmt":"2023-04-15T15:21:47","guid":{"rendered":"https:\/\/cio.umh.es\/?p=27025"},"modified":"2024-04-16T15:55:27","modified_gmt":"2024-04-16T13:55:27","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-86-967-988-2","status":"publish","type":"post","link":"https:\/\/cio.umh.es\/en\/2023\/04\/15\/j-camacho-m-j-canovas-m-a-lopez-j-parra-2023-robust-and-continuous-metric-subregularity-for-linear-inequality-systems-computational-optimization-and-applications-86-967-988-2\/","title":{"rendered":"Camacho, J., C\u00e1novas, M. J., &amp; Parra, J. (2023). Lipschitz upper semicontinuity in linear optimization via local directional convexity. Optimization, 72(8), 2091\u20132108."},"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) and J.Parra (Operations Research Center, University Miguel Hern\u00e1ndez of Elche)<\/strong><\/p>\n<p><strong>Abstract:<\/strong><\/p>\n<p><span>This work is focussed on computing the Lipschitz upper semicontinuity modulus of the argmin mapping for canonically perturbed linear programs. The immediate antecedent can be traced out from Camacho J et al. [2022. From calmness to Hoffman constants for linear semi-infinite inequality systems. Available from:\u00a0<\/span><a href=\"https:\/\/arxiv.org\/pdf\/2107.10000v2.pdf\" target=\"_blank\" rel=\"noopener\">https:\/\/arxiv.org\/pdf\/2107.10000v2.pdf<\/a><span>], devoted to the feasible set mapping. The aimed modulus is expressed in terms of a finite amount of calmness moduli, previously studied in the literature. Despite the parallelism in the results, the methodology followed in the current paper differs notably from Camacho J et al. [2022] as far as the graph of the argmin mapping is not convex; specifically, a new technique based on a certain type of local directional convexity is developed.<\/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) and J.Parra (Operations Research Center, University Miguel Hern\u00e1ndez of Elche)<br \/>\nAbstract:<br \/>\nThis work is focussed on computing the Lipschitz upper semicontinuity modulus of the argmin mapping for canonically perturbed linear programs. The immediate antecedent can be traced out [&#8230;]<\/p>","protected":false},"author":3477,"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\/27025"}],"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\/3477"}],"replies":[{"embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/comments?post=27025"}],"version-history":[{"count":0,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/posts\/27025\/revisions"}],"wp:attachment":[{"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/media?parent=27025"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/categories?post=27025"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/tags?post=27025"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}