{"id":"https://openalex.org/W4220984094","doi":"https://doi.org/10.1142/s0217595922500087","title":"Multiobjective Symmetric Duality in Higher-Order Fractional Variational Programming","display_name":"Multiobjective Symmetric Duality in Higher-Order Fractional Variational Programming","publication_year":2022,"publication_date":"2022-03-10","ids":{"openalex":"https://openalex.org/W4220984094","doi":"https://doi.org/10.1142/s0217595922500087"},"language":"en","primary_location":{"id":"doi:10.1142/s0217595922500087","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0217595922500087","pdf_url":null,"source":{"id":"https://openalex.org/S1254427","display_name":"Asia Pacific Journal of Operational Research","issn_l":"0217-5959","issn":["0217-5959","1793-7019"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asia-Pacific Journal of Operational Research","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/A5077909558","display_name":"Arshpreet Kaur","orcid":"https://orcid.org/0000-0002-1093-1293"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Arshpreet Kaur","raw_affiliation_strings":["P.G. Department of Mathematics, MCM DAV College for Women, Chandigarh-160036, India"],"affiliations":[{"raw_affiliation_string":"P.G. Department of Mathematics, MCM DAV College for Women, Chandigarh-160036, India","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100620538","display_name":"M. K. Sharma","orcid":"https://orcid.org/0000-0002-6306-746X"},"institutions":[{"id":"https://openalex.org/I162030827","display_name":"Thapar Institute of Engineering & Technology","ror":"https://ror.org/00wdq3744","country_code":"IN","type":"education","lineage":["https://openalex.org/I162030827"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Mahesh Kumar Sharma","raw_affiliation_strings":["School of Mathematics, Thapar Institute of Engineering and Technology, Patiala, Punjab-147004, India"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Thapar Institute of Engineering and Technology, Patiala, Punjab-147004, India","institution_ids":["https://openalex.org/I162030827"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008849956","display_name":"Izhar Ahmad","orcid":null},"institutions":[{"id":"https://openalex.org/I134085113","display_name":"King Fahd University of Petroleum and Minerals","ror":"https://ror.org/03yez3163","country_code":"SA","type":"education","lineage":["https://openalex.org/I134085113"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"Izhar Ahmad","raw_affiliation_strings":["Department of Mathematics, King Fahd University of Petroleum and Minerals, Dhahran-31261, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, King Fahd University of Petroleum and Minerals, Dhahran-31261, Saudi Arabia","institution_ids":["https://openalex.org/I134085113"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5008849956"],"corresponding_institution_ids":["https://openalex.org/I134085113"],"apc_list":null,"apc_paid":null,"fwci":0.4382,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.6287633,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"40","issue":"02","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.988099992275238,"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":0.988099992275238,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9330999851226807,"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/duality","display_name":"Duality (order theory)","score":0.7008510231971741},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.700085461139679},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6806557774543762},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5640131235122681},{"id":"https://openalex.org/keywords/cone","display_name":"Cone (formal languages)","score":0.5542730093002319},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.44353923201560974},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4349890649318695},{"id":"https://openalex.org/keywords/fractional-programming","display_name":"Fractional programming","score":0.425035297870636},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.34829288721084595},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32663947343826294},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.25379204750061035},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10505035519599915},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.10147079825401306},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0843353271484375},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.07556307315826416}],"concepts":[{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.7008510231971741},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.700085461139679},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6806557774543762},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5640131235122681},{"id":"https://openalex.org/C30014739","wikidata":"https://www.wikidata.org/wiki/Q5159445","display_name":"Cone (formal languages)","level":2,"score":0.5542730093002319},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.44353923201560974},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4349890649318695},{"id":"https://openalex.org/C169069869","wikidata":"https://www.wikidata.org/wiki/Q5477546","display_name":"Fractional programming","level":4,"score":0.425035297870636},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.34829288721084595},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32663947343826294},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.25379204750061035},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10505035519599915},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.10147079825401306},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0843353271484375},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.07556307315826416},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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":2,"locations":[{"id":"doi:10.1142/s0217595922500087","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0217595922500087","pdf_url":null,"source":{"id":"https://openalex.org/S1254427","display_name":"Asia Pacific Journal of Operational Research","issn_l":"0217-5959","issn":["0217-5959","1793-7019"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asia-Pacific Journal of Operational Research","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:wsi:apjorx:v:40:y:2023:i:02:n:s0217595922500087","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S0217595922500087","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1488878592","https://openalex.org/W1967956032","https://openalex.org/W1975236516","https://openalex.org/W1976815163","https://openalex.org/W1979124217","https://openalex.org/W2001665579","https://openalex.org/W2022699847","https://openalex.org/W2024868409","https://openalex.org/W2025307377","https://openalex.org/W2025953755","https://openalex.org/W2039249286","https://openalex.org/W2042590244","https://openalex.org/W2043250543","https://openalex.org/W2049168249","https://openalex.org/W2053637595","https://openalex.org/W2057610906","https://openalex.org/W2072239789","https://openalex.org/W2077832155","https://openalex.org/W2092899292","https://openalex.org/W2133049002","https://openalex.org/W2159961705","https://openalex.org/W2731542994","https://openalex.org/W2784090136","https://openalex.org/W2808363326","https://openalex.org/W2885749508","https://openalex.org/W2971381151","https://openalex.org/W2997023151","https://openalex.org/W3019047721"],"related_works":["https://openalex.org/W280095","https://openalex.org/W1904716","https://openalex.org/W4924048","https://openalex.org/W4141826","https://openalex.org/W5295403","https://openalex.org/W4701811","https://openalex.org/W97558","https://openalex.org/W105940947","https://openalex.org/W119092062","https://openalex.org/W57716367"],"abstract_inverted_index":{"We":[0],"introduce":[1],"new":[2],"classes":[3,19],"of":[4,27,59],"higher-order":[5,8,13,28],"functional,":[6],"termed":[7],"[Formula:":[9,14],"see":[10,15],"text]convex":[11,16],"and":[12,37],"functionals.":[17],"These":[18],"are":[20,46,57],"illustrated":[21],"by":[22],"nontrivial":[23],"examples.":[24],"A":[25],"pair":[26],"multiobjective":[29],"symmetric":[30],"fractional":[31],"variational":[32],"programs":[33],"with":[34],"cone":[35],"constraints":[36],"fixed":[38],"boundary":[39],"conditions":[40],"is":[41],"formulated.":[42],"Appropriate":[43],"duality":[44],"results":[45,53,61],"discussed":[47],"utilizing":[48],"the":[49,60],"aforementioned":[50],"assumptions.":[51],"The":[52],"in":[54,64],"this":[55],"paper":[56],"generalizations":[58],"already":[62],"existing":[63],"literature.":[65]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}