{"id":26075,"date":"2022-06-28T12:12:25","date_gmt":"2022-06-28T10:12:25","guid":{"rendered":"https:\/\/cio.umh.es\/?p=26075"},"modified":"2022-06-28T12:12:25","modified_gmt":"2022-06-28T10:12:25","slug":"camacho-j-canovas-m-j-parra-j-2022-lipschitz-upper-semicontinuity-in-linear-optimization-via-local-directional-convexity-optimization-2","status":"publish","type":"post","link":"https:\/\/cio.umh.es\/en\/2022\/06\/28\/camacho-j-canovas-m-j-parra-j-2022-lipschitz-upper-semicontinuity-in-linear-optimization-via-local-directional-convexity-optimization-2\/","title":{"rendered":"Camacho, J., C\u00e1novas, M.J., Parra, J. (2022) \u201cLipschitz upper semicontinuity in linear optimization via local directional convexity\u201d, Optimization,"},"content":{"rendered":"<p class=\"AuthorHeader-module__syvlN margin-size-4-t\" style=\"text-align: justify\"><strong>Jes\u00fas Camacho, Mar\u00eda Josefa C\u00e1novas and Juan Parra (Operations Research Center, University Miguel Hern\u00e1ndez of Elche)\u00a0<\/strong><\/p>\n<p class=\"AuthorHeader-module__syvlN margin-size-4-t\" style=\"text-align: justify\"><strong>Abstract: <\/strong>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: https:\/\/arxiv.org\/pdf\/2107.10000v2.pdf], 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.<\/p>","protected":false},"excerpt":{"rendered":"<p>Jes\u00fas Camacho, Mar\u00eda Josefa C\u00e1novas and Juan Parra (Operations Research Center, University Miguel Hern\u00e1ndez of Elche)\u00a0<br \/>\nAbstract: 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 [&#8230;]<\/p>","protected":false},"author":5675,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_links_to":"","_links_to_target":""},"categories":[369888],"tags":[],"_links":{"self":[{"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/posts\/26075"}],"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\/5675"}],"replies":[{"embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/comments?post=26075"}],"version-history":[{"count":0,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/posts\/26075\/revisions"}],"wp:attachment":[{"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/media?parent=26075"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/categories?post=26075"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/tags?post=26075"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}