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<identifier>oai:HAL:hal-00761658v1</identifier>
<datestamp>2017-12-21</datestamp>
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<publisher>HAL CCSD</publisher>
<title lang=en>Subdifferential Test for Optimality</title>
<creator>Jules, Florence</creator>
<creator>Lassonde, Marc</creator>
<contributor>Laboratoire de Mathématiques Informatique et Applications (LAMIA) ; Université des Antilles et de la Guyane (UAG)</contributor>
<description>International audience</description>
<source>ISSN: 0925-5001</source>
<source>EISSN: 1573-2916</source>
<source>Journal of Global Optimization</source>
<publisher>Springer Verlag</publisher>
<identifier>hal-00761658</identifier>
<identifier>https://hal.archives-ouvertes.fr/hal-00761658</identifier>
<source>https://hal.archives-ouvertes.fr/hal-00761658</source>
<source>Journal of Global Optimization, Springer Verlag, 2013, pp.1-6. 〈10.1007/s10898-013-0078-6〉</source>
<identifier>ARXIV : 1212.0532</identifier>
<relation>info:eu-repo/semantics/altIdentifier/arxiv/1212.0532</relation>
<identifier>DOI : 10.1007/s10898-013-0078-6</identifier>
<relation>info:eu-repo/semantics/altIdentifier/doi/10.1007/s10898-013-0078-6</relation>
<language>en</language>
<subject>[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC]</subject>
<subject>[MATH.MATH-FA] Mathematics [math]/Functional Analysis [math.FA]</subject>
<type>info:eu-repo/semantics/article</type>
<type>Journal articles</type>
<description lang=en>We provide a first-order necessary and sufficient condition for optimality of lower semicontinuous functions on Banach spaces using the concept of subdifferential. From the sufficient condition we derive that any subdifferential operator is monotone absorbing, hence maximal monotone when the function is convex.</description>
<date>2013-05-24</date>
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