{"id":"https://openalex.org/W4400356323","doi":"https://doi.org/10.1007/s00332-024-10059-x","title":"A Generalized $$\\Gamma $$-Convergence Concept for a Class of Equilibrium Problems","display_name":"A Generalized $$\\Gamma $$-Convergence Concept for a Class of Equilibrium Problems","publication_year":2024,"publication_date":"2024-07-05","ids":{"openalex":"https://openalex.org/W4400356323","doi":"https://doi.org/10.1007/s00332-024-10059-x"},"language":"en","primary_location":{"id":"doi:10.1007/s00332-024-10059-x","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s00332-024-10059-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00332-024-10059-x.pdf","source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Nonlinear Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00332-024-10059-x.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062202097","display_name":"Michael Hinterm\u00fcller","orcid":"https://orcid.org/0000-0001-9471-2479"},"institutions":[{"id":"https://openalex.org/I4210092021","display_name":"Weierstrass Institute for Applied Analysis and Stochastics","ror":"https://ror.org/00h1x4t21","country_code":"DE","type":"facility","lineage":["https://openalex.org/I315704651","https://openalex.org/I4210092021"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Michael Hinterm\u00fcller","raw_affiliation_strings":["Weierstrass Institute, Berlin, Germany","Weierstrass Institute, Mohrenstr. 39, 10117, Berlin, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Weierstrass Institute, Berlin, Germany","institution_ids":["https://openalex.org/I4210092021"]},{"raw_affiliation_string":"Weierstrass Institute, Mohrenstr. 39, 10117, Berlin, Germany","institution_ids":["https://openalex.org/I4210092021"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074904379","display_name":"Steven-Marian Stengl","orcid":null},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Steven-Marian Stengl","raw_affiliation_strings":["Fakult\u00e4t II \u2013 Mathematik und Naturwissenschaften, Technische Universit\u00e4t Berlin, Berlin, Germany","Fakult\u00e4t II \u2013 Mathematik und Naturwissenschaften, Technische Universit\u00e4t Berlin, Stra\u00dfe des 17. Juni 136, 10623, Berlin, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fakult\u00e4t II \u2013 Mathematik und Naturwissenschaften, Technische Universit\u00e4t Berlin, Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]},{"raw_affiliation_string":"Fakult\u00e4t II \u2013 Mathematik und Naturwissenschaften, Technische Universit\u00e4t Berlin, Stra\u00dfe des 17. Juni 136, 10623, Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5062202097","https://openalex.org/A5074904379"],"corresponding_institution_ids":["https://openalex.org/I4210092021","https://openalex.org/I4577782"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":{"value":2890,"currency":"USD","value_usd":2890},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10787432,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"34","issue":"5","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":0.9995999932289124,"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":0.9995999932289124,"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/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9793000221252441,"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"}},{"id":"https://openalex.org/T12137","display_name":"Economic theories and models","score":0.9596999883651733,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.7206219434738159},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.7092528343200684},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5901491641998291},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.536586344242096},{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.5348008871078491},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.5167281031608582},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.4756743013858795},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4400593936443329},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.30666592717170715},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.27128511667251587},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14502215385437012},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.13056835532188416},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11042875051498413}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.7206219434738159},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.7092528343200684},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5901491641998291},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.536586344242096},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.5348008871078491},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.5167281031608582},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.4756743013858795},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4400593936443329},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.30666592717170715},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.27128511667251587},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14502215385437012},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.13056835532188416},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11042875051498413},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00332-024-10059-x","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s00332-024-10059-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00332-024-10059-x.pdf","source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Nonlinear Science","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s00332-024-10059-x","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s00332-024-10059-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00332-024-10059-x.pdf","source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Nonlinear Science","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.4099999964237213,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[{"id":"https://openalex.org/G188083318","display_name":null,"funder_award_id":"SPP-1962","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G7854951226","display_name":null,"funder_award_id":"HI 1466/10-1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320324094","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4400356323.pdf","grobid_xml":"https://content.openalex.org/works/W4400356323.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W1951178238","https://openalex.org/W1972221945","https://openalex.org/W1981524151","https://openalex.org/W1997949764","https://openalex.org/W2016570470","https://openalex.org/W2040439533","https://openalex.org/W2049507950","https://openalex.org/W2052236418","https://openalex.org/W2067050450","https://openalex.org/W2078742969","https://openalex.org/W2084312524","https://openalex.org/W2088126307","https://openalex.org/W2504943536","https://openalex.org/W2803862319","https://openalex.org/W2806269888","https://openalex.org/W2894799574","https://openalex.org/W2921700974","https://openalex.org/W2963250310","https://openalex.org/W3103465570","https://openalex.org/W4235864991","https://openalex.org/W4236123449"],"related_works":["https://openalex.org/W2032233321","https://openalex.org/W3121970507","https://openalex.org/W2110028391","https://openalex.org/W54497855","https://openalex.org/W217960748","https://openalex.org/W3125814499","https://openalex.org/W2090827041","https://openalex.org/W3162204513","https://openalex.org/W2094012830","https://openalex.org/W187246281"],"abstract_inverted_index":{"Abstract":[0],"A":[1],"novel":[2],"generalization":[3],"of":[4,16,24,29,36,70,85],"$$\\Gamma":[5,48],"$$":[6,49],"<mml:math":[7,50],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[8,51],"<mml:mi>\u0393</mml:mi>":[9,52],"</mml:math>":[10,53],"-convergence":[11,54],"applicable":[12],"to":[13,67,88],"a":[14,27,68,83],"class":[15,69],"equilibrium":[17,42,57,74],"problems":[18,43,58,75],"is":[19,32,44,59],"studied.":[20],"After":[21],"the":[22,25,92],"introduction":[23],"latter,":[26],"variety":[28],"its":[30],"applications":[31],"discussed.":[33],"The":[34,79],"existence":[35],"equilibria":[37],"with":[38,82],"emphasis":[39],"on":[40],"Nash":[41,73],"investigated.":[45],"Subsequently,":[46],"our":[47,86],"notion":[55],"for":[56],"introduced":[60],"and":[61,76],"discussed":[62],"as":[63,65],"well":[64],"applied":[66],"penalized":[71],"generalized":[72],"quasi-variational":[77],"inequalities.":[78],"work":[80],"ends":[81],"comparison":[84],"results":[87],"previous":[89],"generalizations":[90],"in":[91],"literature.":[93]},"counts_by_year":[],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2025-10-10T00:00:00"}
