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<identifier>oai:HAL:hal-00842670v1</identifier>
<datestamp>2017-12-21</datestamp>
<setSpec>type:ART</setSpec>
<setSpec>subject:math</setSpec>
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<setSpec>collection:UNIV-AG</setSpec>
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<setSpec>collection:TDS-MACS</setSpec>
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<metadata><dc>
<publisher>HAL CCSD</publisher>
<title lang=en>Characterization of the monotone polar of subdifferentials</title>
<creator>Lassonde, Marc</creator>
<contributor>Laboratoire de Mathématiques Informatique et Applications (LAMIA) ; Université des Antilles et de la Guyane (UAG)</contributor>
<description>4 pages</description>
<description>International audience</description>
<source>ISSN: 1862-4472</source>
<source>EISSN: 1862-4480</source>
<source>Optimization Letters</source>
<publisher>Springer Verlag</publisher>
<identifier>hal-00842670</identifier>
<identifier>https://hal.archives-ouvertes.fr/hal-00842670</identifier>
<source>https://hal.archives-ouvertes.fr/hal-00842670</source>
<source>Optimization Letters, Springer Verlag, 2013, pp.1-4. 〈10.1007/s11590-013-0693-7〉</source>
<identifier>ARXIV : 1307.1826</identifier>
<relation>info:eu-repo/semantics/altIdentifier/arxiv/1307.1826</relation>
<identifier>DOI : 10.1007/s11590-013-0693-7</identifier>
<relation>info:eu-repo/semantics/altIdentifier/doi/10.1007/s11590-013-0693-7</relation>
<language>en</language>
<subject lang=en>lower semicontinuity</subject>
<subject lang=en>subdifferential</subject>
<subject lang=en>lower Dini subderivative</subject>
<subject lang=en>Minty variational inequality</subject>
<subject lang=en>increase-along-rays property</subject>
<subject lang=en>monotone polar</subject>
<subject lang=en>maximal monotonicity</subject>
<subject>49J52; 49K27; 26D10; 26B25</subject>
<subject>[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC]</subject>
<type>info:eu-repo/semantics/article</type>
<type>Journal articles</type>
<description lang=en>We show that a point is solution of the Minty variational inequality of subdifferential type for a given function if and only if the function is increasing along rays starting from that point. This provides a characterization of the monotone polar of subdifferentials of lower semicontinuous functions: it is a common subset of their graphs which depends only on the function.</description>
<date>2013-10-01</date>
</dc>
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