Pointwise and global well-posedness in set optimization: a direct approach
The aim of this paper is to characterize some of the pointwise and global well-posedness notions available in literature for a set optimization problem completely by compactness or upper continuity of an appropriate minimal solution set maps. The characterizations of compactness of set-valued maps,...
Gespeichert in:
| Veröffentlicht in: | Annals of operations research 2018-10, Vol.269 (1-2), p.149-166 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 166 |
|---|---|
| container_issue | 1-2 |
| container_start_page | 149 |
| container_title | Annals of operations research |
| container_volume | 269 |
| creator | Crespi, Giovanni P. Dhingra, Mansi Lalitha, C. S. |
| description | The aim of this paper is to characterize some of the pointwise and global well-posedness notions available in literature for a set optimization problem completely by compactness or upper continuity of an appropriate minimal solution set maps. The characterizations of compactness of set-valued maps, lead directly to many characterizations for well-posedness. Sufficient conditions are also given for global well-posedness. |
| doi_str_mv | 10.1007/s10479-017-2709-7 |
| format | Article |
| fullrecord | <record><control><sourceid>gale_proqu</sourceid><recordid>TN_cdi_proquest_journals_1966294101</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><galeid>A552174309</galeid><sourcerecordid>A552174309</sourcerecordid><originalsourceid>FETCH-LOGICAL-c486t-9e1e952fd6b79f81c8e2406463f9928f3e63fab78b3ec68ba4b8554c79d298cd3</originalsourceid><addsrcrecordid>eNp1kU1rFTEUhoMoeK3-AHcBt6bN5yRxV4qfFHSh65DJZKYpc5MxJ5dSf725XMEWlCwSDs-TwzkvQq8ZPWeU6gtgVGpLKNOEa2qJfoJ2TGlOrBDmKdpRriRRQtDn6AXALaWUMaN26Mu3knK7SxCxzxNe1jL6Fd_FdSVbgTjlCIBTxhAbLltL-_TLt1TyO-zxlGoMDfttq8WHm5fo2exXiK_-3Gfox4f3368-keuvHz9fXV6TIM3QiI0sWsXnaRi1nQ0LJnJJBzmI2VpuZhH7y4_ajCKGwYxejkYpGbSduDVhEmfozenf3vbnIUJzt-VQc2_pmB0GbiWj7C-1-DW6lOfSqg_7BMFdKsWZloLaTp3_g-pnivsUSo5z6vVHwtsHwniAdNxQypCWmwaLPwA8xtkJD7UA1Di7raa9r_eOUXcMzp2Ccz04dwzO6e7wkwOdzUusD-b7r_QbRSSZIw</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1966294101</pqid></control><display><type>article</type><title>Pointwise and global well-posedness in set optimization: a direct approach</title><source>Business Source Complete</source><source>SpringerLink Journals - AutoHoldings</source><creator>Crespi, Giovanni P. ; Dhingra, Mansi ; Lalitha, C. S.</creator><creatorcontrib>Crespi, Giovanni P. ; Dhingra, Mansi ; Lalitha, C. S.</creatorcontrib><description>The aim of this paper is to characterize some of the pointwise and global well-posedness notions available in literature for a set optimization problem completely by compactness or upper continuity of an appropriate minimal solution set maps. The characterizations of compactness of set-valued maps, lead directly to many characterizations for well-posedness. Sufficient conditions are also given for global well-posedness.</description><identifier>ISSN: 0254-5330</identifier><identifier>EISSN: 1572-9338</identifier><identifier>DOI: 10.1007/s10479-017-2709-7</identifier><language>eng</language><publisher>New York: Springer US</publisher><subject>Business and Management ; Combinatorics ; Management science ; Operations research ; Operations Research/Decision Theory ; Optimization ; Optimization theory ; Raota-2016 ; Studies ; Theory of Computation ; Well posed problems</subject><ispartof>Annals of operations research, 2018-10, Vol.269 (1-2), p.149-166</ispartof><rights>Springer Science+Business Media, LLC, part of Springer Nature 2017</rights><rights>COPYRIGHT 2018 Springer</rights><rights>Annals of Operations Research is a copyright of Springer, (2017). All Rights Reserved.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c486t-9e1e952fd6b79f81c8e2406463f9928f3e63fab78b3ec68ba4b8554c79d298cd3</citedby><cites>FETCH-LOGICAL-c486t-9e1e952fd6b79f81c8e2406463f9928f3e63fab78b3ec68ba4b8554c79d298cd3</cites><orcidid>0000-0002-8513-8257</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s10479-017-2709-7$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s10479-017-2709-7$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27923,27924,41487,42556,51318</link.rule.ids></links><search><creatorcontrib>Crespi, Giovanni P.</creatorcontrib><creatorcontrib>Dhingra, Mansi</creatorcontrib><creatorcontrib>Lalitha, C. S.</creatorcontrib><title>Pointwise and global well-posedness in set optimization: a direct approach</title><title>Annals of operations research</title><addtitle>Ann Oper Res</addtitle><description>The aim of this paper is to characterize some of the pointwise and global well-posedness notions available in literature for a set optimization problem completely by compactness or upper continuity of an appropriate minimal solution set maps. The characterizations of compactness of set-valued maps, lead directly to many characterizations for well-posedness. Sufficient conditions are also given for global well-posedness.</description><subject>Business and Management</subject><subject>Combinatorics</subject><subject>Management science</subject><subject>Operations research</subject><subject>Operations Research/Decision Theory</subject><subject>Optimization</subject><subject>Optimization theory</subject><subject>Raota-2016</subject><subject>Studies</subject><subject>Theory of Computation</subject><subject>Well posed problems</subject><issn>0254-5330</issn><issn>1572-9338</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><sourceid>N95</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><recordid>eNp1kU1rFTEUhoMoeK3-AHcBt6bN5yRxV4qfFHSh65DJZKYpc5MxJ5dSf725XMEWlCwSDs-TwzkvQq8ZPWeU6gtgVGpLKNOEa2qJfoJ2TGlOrBDmKdpRriRRQtDn6AXALaWUMaN26Mu3knK7SxCxzxNe1jL6Fd_FdSVbgTjlCIBTxhAbLltL-_TLt1TyO-zxlGoMDfttq8WHm5fo2exXiK_-3Gfox4f3368-keuvHz9fXV6TIM3QiI0sWsXnaRi1nQ0LJnJJBzmI2VpuZhH7y4_ajCKGwYxejkYpGbSduDVhEmfozenf3vbnIUJzt-VQc2_pmB0GbiWj7C-1-DW6lOfSqg_7BMFdKsWZloLaTp3_g-pnivsUSo5z6vVHwtsHwniAdNxQypCWmwaLPwA8xtkJD7UA1Di7raa9r_eOUXcMzp2Ccz04dwzO6e7wkwOdzUusD-b7r_QbRSSZIw</recordid><startdate>20181001</startdate><enddate>20181001</enddate><creator>Crespi, Giovanni P.</creator><creator>Dhingra, Mansi</creator><creator>Lalitha, C. S.</creator><general>Springer US</general><general>Springer</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>N95</scope><scope>3V.</scope><scope>7TA</scope><scope>7TB</scope><scope>7WY</scope><scope>7WZ</scope><scope>7XB</scope><scope>87Z</scope><scope>88I</scope><scope>8AL</scope><scope>8AO</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>8FK</scope><scope>8FL</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BEZIV</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>FR3</scope><scope>FRNLG</scope><scope>F~G</scope><scope>GNUQQ</scope><scope>HCIFZ</scope><scope>JG9</scope><scope>JQ2</scope><scope>K60</scope><scope>K6~</scope><scope>K7-</scope><scope>KR7</scope><scope>L.-</scope><scope>L6V</scope><scope>M0C</scope><scope>M0N</scope><scope>M2P</scope><scope>M7S</scope><scope>P5Z</scope><scope>P62</scope><scope>PQBIZ</scope><scope>PQBZA</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PTHSS</scope><scope>Q9U</scope><orcidid>https://orcid.org/0000-0002-8513-8257</orcidid></search><sort><creationdate>20181001</creationdate><title>Pointwise and global well-posedness in set optimization: a direct approach</title><author>Crespi, Giovanni P. ; Dhingra, Mansi ; Lalitha, C. S.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c486t-9e1e952fd6b79f81c8e2406463f9928f3e63fab78b3ec68ba4b8554c79d298cd3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Business and Management</topic><topic>Combinatorics</topic><topic>Management science</topic><topic>Operations research</topic><topic>Operations Research/Decision Theory</topic><topic>Optimization</topic><topic>Optimization theory</topic><topic>Raota-2016</topic><topic>Studies</topic><topic>Theory of Computation</topic><topic>Well posed problems</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Crespi, Giovanni P.</creatorcontrib><creatorcontrib>Dhingra, Mansi</creatorcontrib><creatorcontrib>Lalitha, C. S.</creatorcontrib><collection>CrossRef</collection><collection>Gale Business: Insights</collection><collection>ProQuest Central (Corporate)</collection><collection>Materials Business File</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>ABI/INFORM Collection</collection><collection>ABI/INFORM Global (PDF only)</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>ABI/INFORM Global (Alumni Edition)</collection><collection>Science Database (Alumni Edition)</collection><collection>Computing Database (Alumni Edition)</collection><collection>ProQuest Pharma Collection</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>ABI/INFORM Collection (Alumni Edition)</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Business Premium Collection</collection><collection>Technology Collection (ProQuest)</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>Engineering Research Database</collection><collection>Business Premium Collection (Alumni)</collection><collection>ABI/INFORM Global (Corporate)</collection><collection>ProQuest Central Student</collection><collection>SciTech Premium Collection</collection><collection>Materials Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>ProQuest Business Collection (Alumni Edition)</collection><collection>ProQuest Business Collection</collection><collection>Computer Science Database</collection><collection>Civil Engineering Abstracts</collection><collection>ABI/INFORM Professional Advanced</collection><collection>ProQuest Engineering Collection</collection><collection>ABI/INFORM Global</collection><collection>Computing Database</collection><collection>Science Database</collection><collection>Engineering Database</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>ProQuest One Business</collection><collection>ProQuest One Business (Alumni)</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>Engineering Collection</collection><collection>ProQuest Central Basic</collection><jtitle>Annals of operations research</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Crespi, Giovanni P.</au><au>Dhingra, Mansi</au><au>Lalitha, C. S.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Pointwise and global well-posedness in set optimization: a direct approach</atitle><jtitle>Annals of operations research</jtitle><stitle>Ann Oper Res</stitle><date>2018-10-01</date><risdate>2018</risdate><volume>269</volume><issue>1-2</issue><spage>149</spage><epage>166</epage><pages>149-166</pages><issn>0254-5330</issn><eissn>1572-9338</eissn><abstract>The aim of this paper is to characterize some of the pointwise and global well-posedness notions available in literature for a set optimization problem completely by compactness or upper continuity of an appropriate minimal solution set maps. The characterizations of compactness of set-valued maps, lead directly to many characterizations for well-posedness. Sufficient conditions are also given for global well-posedness.</abstract><cop>New York</cop><pub>Springer US</pub><doi>10.1007/s10479-017-2709-7</doi><tpages>18</tpages><orcidid>https://orcid.org/0000-0002-8513-8257</orcidid></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0254-5330 |
| ispartof | Annals of operations research, 2018-10, Vol.269 (1-2), p.149-166 |
| issn | 0254-5330 1572-9338 |
| language | eng |
| recordid | cdi_proquest_journals_1966294101 |
| source | Business Source Complete; SpringerLink Journals - AutoHoldings |
| subjects | Business and Management Combinatorics Management science Operations research Operations Research/Decision Theory Optimization Optimization theory Raota-2016 Studies Theory of Computation Well posed problems |
| title | Pointwise and global well-posedness in set optimization: a direct approach |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-08T13%3A55%3A31IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-gale_proqu&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Pointwise%20and%20global%20well-posedness%20in%20set%20optimization:%20a%20direct%20approach&rft.jtitle=Annals%20of%20operations%20research&rft.au=Crespi,%20Giovanni%20P.&rft.date=2018-10-01&rft.volume=269&rft.issue=1-2&rft.spage=149&rft.epage=166&rft.pages=149-166&rft.issn=0254-5330&rft.eissn=1572-9338&rft_id=info:doi/10.1007/s10479-017-2709-7&rft_dat=%3Cgale_proqu%3EA552174309%3C/gale_proqu%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=1966294101&rft_id=info:pmid/&rft_galeid=A552174309&rfr_iscdi=true |