{"id":"https://openalex.org/W2048184899","doi":"https://doi.org/10.1007/s11590-015-0879-2","title":"Nonlinear separation functions, optimality conditions and error bounds for Ky Fan quasi-inequalities","display_name":"Nonlinear separation functions, optimality conditions and error bounds for Ky Fan quasi-inequalities","publication_year":2015,"publication_date":"2015-03-24","ids":{"openalex":"https://openalex.org/W2048184899","doi":"https://doi.org/10.1007/s11590-015-0879-2","mag":"2048184899"},"language":"en","primary_location":{"id":"doi:10.1007/s11590-015-0879-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-015-0879-2","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/A5101601043","display_name":"Y. D. Xu","orcid":"https://orcid.org/0000-0003-4106-2833"},"institutions":[{"id":"https://openalex.org/I10535382","display_name":"Chongqing University of Posts and Telecommunications","ror":"https://ror.org/03dgaqz26","country_code":"CN","type":"education","lineage":["https://openalex.org/I10535382"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Y. D. Xu","raw_affiliation_strings":["College of Science, Chongqing University of Posts and Telecommunications, Chongqing, 400065, China","ChongQing University of Posts & Telecommunications"],"affiliations":[{"raw_affiliation_string":"College of Science, Chongqing University of Posts and Telecommunications, Chongqing, 400065, China","institution_ids":["https://openalex.org/I10535382"]},{"raw_affiliation_string":"ChongQing University of Posts & Telecommunications","institution_ids":["https://openalex.org/I10535382"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5101601043"],"corresponding_institution_ids":["https://openalex.org/I10535382"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.0914,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.79492453,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"10","issue":"3","first_page":"527","last_page":"542"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9997000098228455,"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":0.9997000098228455,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9801999926567078,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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":0.7693844437599182},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6077563762664795},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.5721828937530518},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5664036273956299},{"id":"https://openalex.org/keywords/saddle-point","display_name":"Saddle point","score":0.5567352175712585},{"id":"https://openalex.org/keywords/cone","display_name":"Cone (formal languages)","score":0.48925185203552246},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4719516336917877},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4430136978626251},{"id":"https://openalex.org/keywords/saddle","display_name":"Saddle","score":0.44194984436035156},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.43512922525405884},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3208842873573303},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.141780823469162},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13059166073799133}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7693844437599182},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6077563762664795},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.5721828937530518},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5664036273956299},{"id":"https://openalex.org/C2681867","wikidata":"https://www.wikidata.org/wiki/Q690935","display_name":"Saddle point","level":2,"score":0.5567352175712585},{"id":"https://openalex.org/C30014739","wikidata":"https://www.wikidata.org/wiki/Q5159445","display_name":"Cone (formal languages)","level":2,"score":0.48925185203552246},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4719516336917877},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4430136978626251},{"id":"https://openalex.org/C2777127463","wikidata":"https://www.wikidata.org/wiki/Q10862618","display_name":"Saddle","level":2,"score":0.44194984436035156},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.43512922525405884},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3208842873573303},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.141780823469162},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13059166073799133},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11590-015-0879-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-015-0879-2","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":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.7400000095367432}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W157127555","https://openalex.org/W1550264680","https://openalex.org/W1966480644","https://openalex.org/W1973947988","https://openalex.org/W1991485275","https://openalex.org/W2008143226","https://openalex.org/W2016374623","https://openalex.org/W2024057042","https://openalex.org/W2029549754","https://openalex.org/W2037187051","https://openalex.org/W2039150338","https://openalex.org/W2048349057","https://openalex.org/W2054913845","https://openalex.org/W2056870933","https://openalex.org/W2057428699","https://openalex.org/W2059056599","https://openalex.org/W2059819725","https://openalex.org/W2066483485","https://openalex.org/W2078289158","https://openalex.org/W2084462821","https://openalex.org/W2085334198","https://openalex.org/W2087048059","https://openalex.org/W2090258547","https://openalex.org/W2109381394","https://openalex.org/W2115169234","https://openalex.org/W2129483034","https://openalex.org/W2143373014","https://openalex.org/W2264534529","https://openalex.org/W2291051718","https://openalex.org/W2952305645","https://openalex.org/W4235851924","https://openalex.org/W4242708824","https://openalex.org/W4255667420"],"related_works":["https://openalex.org/W1489292980","https://openalex.org/W2795079910","https://openalex.org/W2951610245","https://openalex.org/W1430963189","https://openalex.org/W3037410748","https://openalex.org/W4236459141","https://openalex.org/W2049901819","https://openalex.org/W3128918387","https://openalex.org/W2052430123","https://openalex.org/W1983437306"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
