{"id":"https://openalex.org/W4387344627","doi":"https://doi.org/10.1007/s11590-023-02065-x","title":"On maximal and minimal elements for sets with respect to cones","display_name":"On maximal and minimal elements for sets with respect to cones","publication_year":2023,"publication_date":"2023-10-04","ids":{"openalex":"https://openalex.org/W4387344627","doi":"https://doi.org/10.1007/s11590-023-02065-x"},"language":"en","primary_location":{"id":"doi:10.1007/s11590-023-02065-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-023-02065-x","pdf_url":null,"source":{"id":"https://openalex.org/S12647387","display_name":"Optimization Letters","issn_l":"1862-4472","issn":["1862-4472","1862-4480"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Letters","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101541561","display_name":"A. P. Farajzadeh","orcid":null},"institutions":[{"id":"https://openalex.org/I1187138","display_name":"Razi University","ror":"https://ror.org/02ynb0474","country_code":"IR","type":"education","lineage":["https://openalex.org/I1187138"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"A. Farajzadeh","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Razi University, P.O. Box 67149-67346, Kermanshah, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Razi University, P.O. Box 67149-67346, Kermanshah, Iran","institution_ids":["https://openalex.org/I1187138"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5101541561"],"corresponding_institution_ids":["https://openalex.org/I1187138"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":0.1396,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.49572871,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":94},"biblio":{"volume":"18","issue":"6","first_page":"1533","last_page":"1540"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11115","display_name":"Topology Optimization in Engineering","score":0.9836000204086304,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.961899995803833,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8499242067337036},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.6355522871017456},{"id":"https://openalex.org/keywords/convex-cone","display_name":"Convex cone","score":0.6138479709625244},{"id":"https://openalex.org/keywords/cone","display_name":"Cone (formal languages)","score":0.6029516458511353},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5025277137756348},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.49458810687065125},{"id":"https://openalex.org/keywords/topological-space","display_name":"Topological space","score":0.43988505005836487},{"id":"https://openalex.org/keywords/fundamental-theorem","display_name":"Fundamental theorem","score":0.4183829128742218},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37740105390548706},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.37434321641921997},{"id":"https://openalex.org/keywords/convex-set","display_name":"Convex set","score":0.37251970171928406},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3380775451660156},{"id":"https://openalex.org/keywords/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.2700217068195343},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19878998398780823},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.15817776322364807},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11552268266677856},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.07786554098129272}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8499242067337036},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.6355522871017456},{"id":"https://openalex.org/C28340159","wikidata":"https://www.wikidata.org/wiki/Q2256541","display_name":"Convex cone","level":5,"score":0.6138479709625244},{"id":"https://openalex.org/C30014739","wikidata":"https://www.wikidata.org/wiki/Q5159445","display_name":"Cone (formal languages)","level":2,"score":0.6029516458511353},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5025277137756348},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.49458810687065125},{"id":"https://openalex.org/C81332173","wikidata":"https://www.wikidata.org/wiki/Q179899","display_name":"Topological space","level":2,"score":0.43988505005836487},{"id":"https://openalex.org/C194886279","wikidata":"https://www.wikidata.org/wiki/Q430271","display_name":"Fundamental theorem","level":3,"score":0.4183829128742218},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37740105390548706},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.37434321641921997},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.37251970171928406},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3380775451660156},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.2700217068195343},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19878998398780823},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.15817776322364807},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11552268266677856},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.07786554098129272}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11590-023-02065-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-023-02065-x","pdf_url":null,"source":{"id":"https://openalex.org/S12647387","display_name":"Optimization Letters","issn_l":"1862-4472","issn":["1862-4472","1862-4480"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W2008260609","https://openalex.org/W2067743604","https://openalex.org/W2094964517","https://openalex.org/W2995284990","https://openalex.org/W4231758816"],"related_works":["https://openalex.org/W1965358437","https://openalex.org/W2068531293","https://openalex.org/W1974329054","https://openalex.org/W2023004229","https://openalex.org/W2064755091","https://openalex.org/W2073718737","https://openalex.org/W2184361932","https://openalex.org/W2031393952","https://openalex.org/W2484043914","https://openalex.org/W1998665330"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-08-28T12:50:07.497085","created_date":"2025-10-10T00:00:00"}
