{"id":"https://openalex.org/W1990023554","doi":"https://doi.org/10.1007/s101070050019","title":"Inverse functions of pseudo regular mappings and regularity conditions","display_name":"Inverse functions of pseudo regular mappings and regularity conditions","publication_year":2000,"publication_date":"2000-08-01","ids":{"openalex":"https://openalex.org/W1990023554","doi":"https://doi.org/10.1007/s101070050019","mag":"1990023554"},"language":"en","primary_location":{"id":"doi:10.1007/s101070050019","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s101070050019","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","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/A5040277337","display_name":"Bernd Kummer","orcid":null},"institutions":[{"id":"https://openalex.org/I39343248","display_name":"Humboldt-Universit\u00e4t zu Berlin","ror":"https://ror.org/01hcx6992","country_code":"DE","type":"education","lineage":["https://openalex.org/I39343248"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Bernd Kummer","raw_affiliation_strings":["Humboldt-University Berlin, Math.-Nat. Fak. II, Institute of Mathematics, 10099 Berlin, Germany, e-mail: kummer@mathematik.hu-berlin.de, DE"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Humboldt-University Berlin, Math.-Nat. Fak. II, Institute of Mathematics, 10099 Berlin, Germany, e-mail: kummer@mathematik.hu-berlin.de, DE","institution_ids":["https://openalex.org/I39343248"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5040277337"],"corresponding_institution_ids":["https://openalex.org/I39343248"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":1.8518,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.84496124,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"88","issue":"2","first_page":"313","last_page":"339"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.996999979019165,"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":0.996999979019165,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9968000054359436,"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/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9962999820709229,"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":0.8685684204101562},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5932691693305969},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.521178662776947},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4919445216655731},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.4538785219192505},{"id":"https://openalex.org/keywords/inverse-function","display_name":"Inverse function","score":0.4101232886314392},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.38147157430648804},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12693580985069275}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8685684204101562},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5932691693305969},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.521178662776947},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4919445216655731},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.4538785219192505},{"id":"https://openalex.org/C140528856","wikidata":"https://www.wikidata.org/wiki/Q191884","display_name":"Inverse function","level":3,"score":0.4101232886314392},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38147157430648804},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12693580985069275}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s101070050019","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s101070050019","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W139036254","https://openalex.org/W655130074","https://openalex.org/W1484024929","https://openalex.org/W1534940407","https://openalex.org/W1551360398","https://openalex.org/W1972451512","https://openalex.org/W1977750299","https://openalex.org/W1981955268","https://openalex.org/W1983871704","https://openalex.org/W1986127424","https://openalex.org/W1989357184","https://openalex.org/W1993647205","https://openalex.org/W1997015026","https://openalex.org/W2010295352","https://openalex.org/W2010337082","https://openalex.org/W2018508199","https://openalex.org/W2022853838","https://openalex.org/W2030322501","https://openalex.org/W2045034940","https://openalex.org/W2046005535","https://openalex.org/W2052454518","https://openalex.org/W2068254260","https://openalex.org/W2073329629","https://openalex.org/W2092335343","https://openalex.org/W2103883990","https://openalex.org/W2108984744","https://openalex.org/W2111948593","https://openalex.org/W2334285086","https://openalex.org/W2531699496","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W133524861","https://openalex.org/W2289115841","https://openalex.org/W4205418048","https://openalex.org/W2085861229","https://openalex.org/W2331917905","https://openalex.org/W3155039083","https://openalex.org/W2387879287","https://openalex.org/W4235852481","https://openalex.org/W2567966880","https://openalex.org/W290448058"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-12T07:12:00.856984","created_date":"2025-10-10T00:00:00"}