{"id":"https://openalex.org/W4381333937","doi":"https://doi.org/10.1007/s12190-023-01884-6","title":"A pair of Mond\u2013Weir type third order symmetric duality","display_name":"A pair of Mond\u2013Weir type third order symmetric duality","publication_year":2023,"publication_date":"2023-06-20","ids":{"openalex":"https://openalex.org/W4381333937","doi":"https://doi.org/10.1007/s12190-023-01884-6"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-023-01884-6","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1007/s12190-023-01884-6","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"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 Applied Mathematics and Computing","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/A5003503447","display_name":"Gagarin Biswal","orcid":null},"institutions":[{"id":"https://openalex.org/I67357951","display_name":"KIIT University","ror":"https://ror.org/00k8zt527","country_code":"IN","type":"education","lineage":["https://openalex.org/I67357951"]},{"id":"https://openalex.org/I99729588","display_name":"Indian Institute of Technology Bhubaneswar","ror":"https://ror.org/04gx72j20","country_code":"IN","type":"education","lineage":["https://openalex.org/I99729588"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"G. Biswal","raw_affiliation_strings":["School of Applied Sciences, KIIT, Bhubaneswar, 751024, India","School of Applied Sciences, KIIT, Bhubaneswar, India"],"affiliations":[{"raw_affiliation_string":"School of Applied Sciences, KIIT, Bhubaneswar, 751024, India","institution_ids":["https://openalex.org/I67357951","https://openalex.org/I99729588"]},{"raw_affiliation_string":"School of Applied Sciences, KIIT, Bhubaneswar, India","institution_ids":["https://openalex.org/I67357951","https://openalex.org/I99729588"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080549184","display_name":"N. Behera","orcid":"https://orcid.org/0000-0003-1020-7649"},"institutions":[{"id":"https://openalex.org/I99729588","display_name":"Indian Institute of Technology Bhubaneswar","ror":"https://ror.org/04gx72j20","country_code":"IN","type":"education","lineage":["https://openalex.org/I99729588"]},{"id":"https://openalex.org/I67357951","display_name":"KIIT University","ror":"https://ror.org/00k8zt527","country_code":"IN","type":"education","lineage":["https://openalex.org/I67357951"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"N. Behera","raw_affiliation_strings":["School of Applied Sciences, KIIT, Bhubaneswar, 751024, India","School of Applied Sciences, KIIT, Bhubaneswar, India"],"affiliations":[{"raw_affiliation_string":"School of Applied Sciences, KIIT, Bhubaneswar, 751024, India","institution_ids":["https://openalex.org/I67357951","https://openalex.org/I99729588"]},{"raw_affiliation_string":"School of Applied Sciences, KIIT, Bhubaneswar, India","institution_ids":["https://openalex.org/I67357951","https://openalex.org/I99729588"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023544410","display_name":"R. N. Mohapatra","orcid":"https://orcid.org/0000-0002-5502-3934"},"institutions":[{"id":"https://openalex.org/I106165777","display_name":"University of Central Florida","ror":"https://ror.org/036nfer12","country_code":"US","type":"education","lineage":["https://openalex.org/I106165777"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"R. N. Mohapatra","raw_affiliation_strings":["University of Central Florida, Orlando, FL, 32816, USA","University of Central Florida, Orlando, USA"],"affiliations":[{"raw_affiliation_string":"University of Central Florida, Orlando, FL, 32816, USA","institution_ids":["https://openalex.org/I106165777"]},{"raw_affiliation_string":"University of Central Florida, Orlando, USA","institution_ids":["https://openalex.org/I106165777"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101924943","display_name":"Saroj Kumar Padhan","orcid":"https://orcid.org/0000-0002-3284-3016"},"institutions":[{"id":"https://openalex.org/I185065464","display_name":"Veer Surendra Sai University of Technology","ror":"https://ror.org/02yghbg68","country_code":"IN","type":"education","lineage":["https://openalex.org/I185065464"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"S. K. Padhan","raw_affiliation_strings":["Veer Surendra Sai University of Technology, Burla, 768018, India","Veer Surendra Sai University of Technology, Burla, India"],"affiliations":[{"raw_affiliation_string":"Veer Surendra Sai University of Technology, Burla, 768018, India","institution_ids":["https://openalex.org/I185065464"]},{"raw_affiliation_string":"Veer Surendra Sai University of Technology, Burla, India","institution_ids":["https://openalex.org/I185065464"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5101924943"],"corresponding_institution_ids":["https://openalex.org/I185065464"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12942194,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"69","issue":"4","first_page":"3391","last_page":"3402"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9940999746322632,"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":0.9940999746322632,"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":0.9573000073432922,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.947700023651123,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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":0.7553963661193848},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7502846717834473},{"id":"https://openalex.org/keywords/counterexample","display_name":"Counterexample","score":0.673044741153717},{"id":"https://openalex.org/keywords/weir","display_name":"Weir","score":0.6173997521400452},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5877372026443481},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5805362462997437},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5731722116470337},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.5316104888916016},{"id":"https://openalex.org/keywords/third-order","display_name":"Third order","score":0.4216857850551605},{"id":"https://openalex.org/keywords/wolfe-duality","display_name":"Wolfe duality","score":0.4198077619075775},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.41406866908073425},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3903900384902954},{"id":"https://openalex.org/keywords/duality-gap","display_name":"Duality gap","score":0.36895042657852173},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3221762180328369},{"id":"https://openalex.org/keywords/weak-duality","display_name":"Weak duality","score":0.2929288148880005},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2243671715259552},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.21577417850494385},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.10080799460411072},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.0954015851020813},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08062854409217834},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.05264866352081299},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.050717175006866455}],"concepts":[{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.7553963661193848},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7502846717834473},{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.673044741153717},{"id":"https://openalex.org/C2779276979","wikidata":"https://www.wikidata.org/wiki/Q1066997","display_name":"Weir","level":2,"score":0.6173997521400452},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5877372026443481},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5805362462997437},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5731722116470337},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.5316104888916016},{"id":"https://openalex.org/C2777566824","wikidata":"https://www.wikidata.org/wiki/Q1259252","display_name":"Third order","level":2,"score":0.4216857850551605},{"id":"https://openalex.org/C109456813","wikidata":"https://www.wikidata.org/wiki/Q8029991","display_name":"Wolfe duality","level":5,"score":0.4198077619075775},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.41406866908073425},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3903900384902954},{"id":"https://openalex.org/C5274546","wikidata":"https://www.wikidata.org/wiki/Q5310264","display_name":"Duality gap","level":3,"score":0.36895042657852173},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3221762180328369},{"id":"https://openalex.org/C80682859","wikidata":"https://www.wikidata.org/wiki/Q7977943","display_name":"Weak duality","level":4,"score":0.2929288148880005},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2243671715259552},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.21577417850494385},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.10080799460411072},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.0954015851020813},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08062854409217834},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.05264866352081299},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.050717175006866455},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C58640448","wikidata":"https://www.wikidata.org/wiki/Q42515","display_name":"Cartography","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12190-023-01884-6","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1007/s12190-023-01884-6","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"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 Applied Mathematics and Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6800000071525574,"id":"https://metadata.un.org/sdg/4","display_name":"Quality Education"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1963829356","https://openalex.org/W1976442301","https://openalex.org/W1983749636","https://openalex.org/W1994517937","https://openalex.org/W1995215130","https://openalex.org/W2022699847","https://openalex.org/W2027366799","https://openalex.org/W2030467555","https://openalex.org/W2030851676","https://openalex.org/W2035647929","https://openalex.org/W2038844225","https://openalex.org/W2038877440","https://openalex.org/W2045915571","https://openalex.org/W2049168249","https://openalex.org/W2073677690","https://openalex.org/W2085752001","https://openalex.org/W2088071064","https://openalex.org/W2089115558","https://openalex.org/W2095445548","https://openalex.org/W2158772557","https://openalex.org/W2160880788","https://openalex.org/W2167454496","https://openalex.org/W2345066843","https://openalex.org/W2507052451","https://openalex.org/W2731542994","https://openalex.org/W2784097170","https://openalex.org/W2941704029"],"related_works":["https://openalex.org/W4220928172","https://openalex.org/W4313014939","https://openalex.org/W2029896594","https://openalex.org/W3213165575","https://openalex.org/W640885572","https://openalex.org/W2056178476","https://openalex.org/W1687657632","https://openalex.org/W4210245775","https://openalex.org/W2384039353","https://openalex.org/W228544604"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-12-19T19:40:27.379048","created_date":"2025-10-10T00:00:00"}