On Derivative Criteria for Metric Regularity
We give a simple self-contained proof of the equality which links directly the graphical derivative and coderivative criteria for metric regularity. Then we present a sharper form of the criterion for strong metric regularity involving the paratingent derivative.
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| creator | Frankowska, Hélène Dontchev, Asen |
| description | We give a simple self-contained proof of the equality which links directly the graphical derivative and coderivative criteria for metric regularity. Then we present a sharper form of the criterion for strong metric regularity involving the paratingent derivative. |
| doi_str_mv | 10.1007/978-1-4614-7621-4_16 |
| format | Book Chapter |
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Then we present a sharper form of the criterion for strong metric regularity involving the paratingent derivative.</description><subject>Coderivative</subject><subject>Functional analysis & transforms</subject><subject>Graphical derivative</subject><subject>Mathematics</subject><subject>Metric regularity</subject><subject>Number theory</subject><subject>Operational research</subject><subject>Optimization and Control</subject><subject>Paratingent derivative</subject><subject>Primary 49J52</subject><subject>Secondary 49J53</subject><subject>Set-valued mapping</subject><subject>Strong metric regularity</subject><issn>2194-1009</issn><issn>2194-1017</issn><isbn>9781461476207</isbn><isbn>1461476208</isbn><isbn>1461476216</isbn><isbn>9781461476214</isbn><isbn>1461476216</isbn><isbn>9781461476214</isbn><fulltext>true</fulltext><rsrctype>book_chapter</rsrctype><creationdate>2013</creationdate><recordtype>book_chapter</recordtype><recordid>eNo9kEtPwzAQhM1TFOgfQBxyRSKw6zhr51iVp1RUCcF55SROCYSmOKFS_z2OCpzsnZlvVxohzhGuEEBfZ9rEGCtCFWuS4cdIO-IYB2UQaFeMJGYqRkC9J8Yh_-eB3v_3IDsUI0MIBkyWHYlx170DQIBAGTMSl_NldON8vbZ9vXbR1Nd9mGxUtT56cr2vi-jZLb4bG4zNqTiobNO58e97Il7vbl-mD_Fsfv84nczihcyojwkqLUtSNi1MhTK3mizJUtoSgZzNUSWlIZknqcxT5UoX5iopSkyRKlPK5ERcbPe-2YZXvv60fsOtrflhMuNBAzBao0rXGLJym-1CcLlwnvO2_egYgYceOfTCyEMzPNTGQ48BUlto5duvb9f17AaqcMve26Z4s6vQQtihiDQE3khOtAnY2RZb2Mbx2jdMlCbhDEiV_ACU-naP</recordid><startdate>2013</startdate><enddate>2013</enddate><creator>Frankowska, Hélène</creator><creator>Dontchev, Asen</creator><general>Springer New York</general><general>Springer-Verlag</general><scope>FFUUA</scope><scope>1XC</scope></search><sort><creationdate>2013</creationdate><title>On Derivative Criteria for Metric Regularity</title><author>Frankowska, Hélène ; Dontchev, Asen</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-g296t-60f72d64a5c8f12ba76a62d2ad106eab143d862b352b54ede43df3cd1516f8d23</frbrgroupid><rsrctype>book_chapters</rsrctype><prefilter>book_chapters</prefilter><language>eng</language><creationdate>2013</creationdate><topic>Coderivative</topic><topic>Functional analysis & transforms</topic><topic>Graphical derivative</topic><topic>Mathematics</topic><topic>Metric regularity</topic><topic>Number theory</topic><topic>Operational research</topic><topic>Optimization and Control</topic><topic>Paratingent derivative</topic><topic>Primary 49J52</topic><topic>Secondary 49J53</topic><topic>Set-valued mapping</topic><topic>Strong metric regularity</topic><toplevel>online_resources</toplevel><creatorcontrib>Frankowska, Hélène</creatorcontrib><creatorcontrib>Dontchev, Asen</creatorcontrib><collection>ProQuest Ebook Central - Book Chapters - Demo use only</collection><collection>Hyper Article en Ligne (HAL)</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Frankowska, Hélène</au><au>Dontchev, Asen</au><au>Vanderwerff, Jon D</au><au>Garvan, Frank</au><au>Bailey, David H</au><au>Borwein, Peter</au><au>Wolkowicz, Henry</au><au>Théra, Michel</au><au>Bauschke, Heinz H</au><au>Bauschke, Heinz H.</au><au>Wolkowicz, Henry</au><au>Bailey, David H.</au><au>Théra, Michel</au><au>Vanderwerff, Jon D.</au><au>Garvan, Frank</au><au>Borwein, Peter</au><format>book</format><genre>bookitem</genre><ristype>CHAP</ristype><atitle>On Derivative Criteria for Metric Regularity</atitle><btitle>Computational and Analytical Mathematics</btitle><seriestitle>Springer Proceedings in Mathematics & Statistics</seriestitle><date>2013</date><risdate>2013</risdate><volume>50</volume><spage>365</spage><epage>374</epage><pages>365-374</pages><issn>2194-1009</issn><eissn>2194-1017</eissn><isbn>9781461476207</isbn><isbn>1461476208</isbn><isbn>1461476216</isbn><isbn>9781461476214</isbn><eisbn>1461476216</eisbn><eisbn>9781461476214</eisbn><abstract>We give a simple self-contained proof of the equality which links directly the graphical derivative and coderivative criteria for metric regularity. Then we present a sharper form of the criterion for strong metric regularity involving the paratingent derivative.</abstract><cop>United States</cop><pub>Springer New York</pub><doi>10.1007/978-1-4614-7621-4_16</doi><oclcid>861080899</oclcid><tpages>10</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 2194-1009 |
| ispartof | Computational and Analytical Mathematics, 2013, Vol.50, p.365-374 |
| issn | 2194-1009 2194-1017 |
| language | eng |
| recordid | cdi_hal_primary_oai_HAL_hal_00877145v1 |
| source | Springer Books |
| subjects | Coderivative Functional analysis & transforms Graphical derivative Mathematics Metric regularity Number theory Operational research Optimization and Control Paratingent derivative Primary 49J52 Secondary 49J53 Set-valued mapping Strong metric regularity |
| title | On Derivative Criteria for Metric Regularity |
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