{"id":"https://openalex.org/W2053671651","doi":"https://doi.org/10.1007/s10898-008-9300-3","title":"Duality for almost convex optimization problems via the perturbation approach","display_name":"Duality for almost convex optimization problems via the perturbation approach","publication_year":2008,"publication_date":"2008-03-27","ids":{"openalex":"https://openalex.org/W2053671651","doi":"https://doi.org/10.1007/s10898-008-9300-3","mag":"2053671651"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-008-9300-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-008-9300-3","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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":"Journal of Global Optimization","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/A5011677215","display_name":"Radu Ioan Bo\u0163","orcid":"https://orcid.org/0000-0002-4469-314X"},"institutions":[{"id":"https://openalex.org/I2610724","display_name":"Chemnitz University of Technology","ror":"https://ror.org/00a208s56","country_code":"DE","type":"education","lineage":["https://openalex.org/I2610724"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Radu Ioan Bo\u0163","raw_affiliation_strings":["Faculty of Mathematics, Chemnitz University of Technology, 09107, Chemnitz, Germany","Faculty of Mathematics, Chemnitz University of Technology, Chemnitz, Germany 09107"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, Chemnitz University of Technology, 09107, Chemnitz, Germany","institution_ids":["https://openalex.org/I2610724"]},{"raw_affiliation_string":"Faculty of Mathematics, Chemnitz University of Technology, Chemnitz, Germany 09107","institution_ids":["https://openalex.org/I2610724"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033084316","display_name":"G. Kassay","orcid":"https://orcid.org/0000-0003-1269-6095"},"institutions":[{"id":"https://openalex.org/I3125347698","display_name":"Babe\u0219-Bolyai University","ror":"https://ror.org/02rmd1t30","country_code":"RO","type":"education","lineage":["https://openalex.org/I3125347698"]}],"countries":["RO"],"is_corresponding":true,"raw_author_name":"G\u00e1bor Kassay","raw_affiliation_strings":["Faculty of Mathematics and Computer Science, Babe\u015f-Bolyai University, Str. M. Kog\u0103lniceanu 1, 400084, Cluj-Napoca, Romania","Faculty of Mathematics and Computer Science, Babe\u015f-Bolyai University, Cluj-Napoca, Romania 400084"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, Babe\u015f-Bolyai University, Str. M. Kog\u0103lniceanu 1, 400084, Cluj-Napoca, Romania","institution_ids":["https://openalex.org/I3125347698"]},{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, Babe\u015f-Bolyai University, Cluj-Napoca, Romania 400084","institution_ids":["https://openalex.org/I3125347698"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088024629","display_name":"Gert Wanka","orcid":"https://orcid.org/0000-0002-3653-3525"},"institutions":[{"id":"https://openalex.org/I2610724","display_name":"Chemnitz University of Technology","ror":"https://ror.org/00a208s56","country_code":"DE","type":"education","lineage":["https://openalex.org/I2610724"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Gert Wanka","raw_affiliation_strings":["Faculty of Mathematics, Chemnitz University of Technology, 09107, Chemnitz, Germany","Faculty of Mathematics, Chemnitz University of Technology, Chemnitz, Germany 09107"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, Chemnitz University of Technology, 09107, Chemnitz, Germany","institution_ids":["https://openalex.org/I2610724"]},{"raw_affiliation_string":"Faculty of Mathematics, Chemnitz University of Technology, Chemnitz, Germany 09107","institution_ids":["https://openalex.org/I2610724"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5033084316"],"corresponding_institution_ids":["https://openalex.org/I3125347698"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":0.4081,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.67330335,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"42","issue":"3","first_page":"385","last_page":"399"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9994000196456909,"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":0.9994000196456909,"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":0.9948999881744385,"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/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.9932000041007996,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8636322021484375},{"id":"https://openalex.org/keywords/perturbation-function","display_name":"Perturbation function","score":0.8628044128417969},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.7558550834655762},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.704100489616394},{"id":"https://openalex.org/keywords/strong-duality","display_name":"Strong duality","score":0.6582409143447876},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.589882493019104},{"id":"https://openalex.org/keywords/proper-convex-function","display_name":"Proper convex function","score":0.5615593194961548},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.5496328473091125},{"id":"https://openalex.org/keywords/conic-optimization","display_name":"Conic optimization","score":0.5400214195251465},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5177389979362488},{"id":"https://openalex.org/keywords/duality-gap","display_name":"Duality gap","score":0.516084611415863},{"id":"https://openalex.org/keywords/wolfe-duality","display_name":"Wolfe duality","score":0.5094864964485168},{"id":"https://openalex.org/keywords/subderivative","display_name":"Subderivative","score":0.4937945306301117},{"id":"https://openalex.org/keywords/weak-duality","display_name":"Weak duality","score":0.47703832387924194},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.40478086471557617},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3876805901527405},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.361300528049469},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.32306593656539917},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07194194197654724}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8636322021484375},{"id":"https://openalex.org/C102144036","wikidata":"https://www.wikidata.org/wiki/Q7170952","display_name":"Perturbation function","level":5,"score":0.8628044128417969},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.7558550834655762},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.704100489616394},{"id":"https://openalex.org/C163863214","wikidata":"https://www.wikidata.org/wiki/Q7624553","display_name":"Strong duality","level":3,"score":0.6582409143447876},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.589882493019104},{"id":"https://openalex.org/C50862404","wikidata":"https://www.wikidata.org/wiki/Q3075259","display_name":"Proper convex function","level":5,"score":0.5615593194961548},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.5496328473091125},{"id":"https://openalex.org/C79187972","wikidata":"https://www.wikidata.org/wiki/Q2654791","display_name":"Conic optimization","level":5,"score":0.5400214195251465},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5177389979362488},{"id":"https://openalex.org/C5274546","wikidata":"https://www.wikidata.org/wiki/Q5310264","display_name":"Duality gap","level":3,"score":0.516084611415863},{"id":"https://openalex.org/C109456813","wikidata":"https://www.wikidata.org/wiki/Q8029991","display_name":"Wolfe duality","level":5,"score":0.5094864964485168},{"id":"https://openalex.org/C200661725","wikidata":"https://www.wikidata.org/wiki/Q289500","display_name":"Subderivative","level":4,"score":0.4937945306301117},{"id":"https://openalex.org/C80682859","wikidata":"https://www.wikidata.org/wiki/Q7977943","display_name":"Weak duality","level":4,"score":0.47703832387924194},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.40478086471557617},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3876805901527405},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.361300528049469},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.32306593656539917},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07194194197654724},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10898-008-9300-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-008-9300-3","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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":"Journal of Global Optimization","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Climate action","id":"https://metadata.un.org/sdg/13","score":0.7599999904632568}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W17538437","https://openalex.org/W58205425","https://openalex.org/W62543689","https://openalex.org/W84597792","https://openalex.org/W197071561","https://openalex.org/W606413299","https://openalex.org/W1605010047","https://openalex.org/W1653619892","https://openalex.org/W1964228255","https://openalex.org/W2016306996","https://openalex.org/W2041533015","https://openalex.org/W2081453379","https://openalex.org/W2084099445","https://openalex.org/W2095699450","https://openalex.org/W2494445182","https://openalex.org/W2499667059","https://openalex.org/W3122195666","https://openalex.org/W4249667877"],"related_works":["https://openalex.org/W640885572","https://openalex.org/W4220928172","https://openalex.org/W4313014939","https://openalex.org/W4210245775","https://openalex.org/W2155425983","https://openalex.org/W1801441248","https://openalex.org/W4307261727","https://openalex.org/W3125150697","https://openalex.org/W2085364069","https://openalex.org/W2152970697"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}
