Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2121426062', 'doi': 'https://doi.org/10.1007/s11590-014-0781-3', 'title': 'Local maximum points of explicitly quasiconvex functions', 'display_name': 'Local maximum points of explicitly quasiconvex functions', 'publication_year': 2014, 'publication_date': '2014-08-16', 'ids': {'openalex': 'https://openalex.org/W2121426062', 'doi': 'https://doi.org/10.1007/s11590-014-0781-3', 'mag': '2121426062'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/s11590-014-0781-3', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S12647387', 'display_name': 'Optimization Letters', 'issn_l': '1862-4472', 'issn': ['1862-4472', '1862-4480'], '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/P4310319965', 'https://openalex.org/P4310319900'], 'host_organization_lineage_names': ['Springer Nature', 'Springer Science+Business Media'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': False, 'oa_status': 'closed', 'oa_url': None, 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5051397065', 'display_name': 'Ovidiu Bagdasar', 'orcid': 'https://orcid.org/0000-0003-4193-9842'}, 'institutions': [{'id': 'https://openalex.org/I22128151', 'display_name': 'University of Derby', 'ror': 'https://ror.org/02yhrrk59', 'country_code': 'GB', 'type': 'education', 'lineage': ['https://openalex.org/I22128151']}], 'countries': ['GB'], 'is_corresponding': False, 'raw_author_name': 'Ovidiu Bagdasar', 'raw_affiliation_strings': ['University of Derby.'], 'affiliations': [{'raw_affiliation_string': 'University of Derby.', 'institution_ids': ['https://openalex.org/I22128151']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5011299140', 'display_name': 'Nicolae Popovici', 'orcid': 'https://orcid.org/0000-0002-1842-6005'}, 'institutions': [{'id': 'https://openalex.org/I3125347698', 'display_name': 'Babeș-Bolyai University', 'ror': 'https://ror.org/02rmd1t30', 'country_code': 'RO', 'type': 'education', 'lineage': ['https://openalex.org/I3125347698']}], 'countries': ['RO'], 'is_corresponding': False, 'raw_author_name': 'Nicolae Popovici', 'raw_affiliation_strings': ['Babeş Bolyai University of Cluj Napoca'], 'affiliations': [{'raw_affiliation_string': 'Babeş Bolyai University of Cluj Napoca', 'institution_ids': ['https://openalex.org/I3125347698']}]}], 'institution_assertions': [], 'countries_distinct_count': 2, 'institutions_distinct_count': 2, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': {'value': 2290, 'currency': 'EUR', 'value_usd': 2890, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 0.0, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 3, 'citation_normalized_percentile': {'value': 0.550466, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 77, 'max': 79}, 'biblio': {'volume': '9', 'issue': '4', 'first_page': '769', 'last_page': '777'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10545', 'display_name': 'Iterative Algorithms for Nonlinear Operators and Optimization', 'score': 0.9997, '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': 'Iterative Algorithms for Nonlinear Operators and Optimization', 'score': 0.9997, '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/T12508', 'display_name': 'Stability of Functional Equations in Mathematical Analysis', 'score': 0.9973, '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/T10963', 'display_name': 'Numerical Optimization Techniques', 'score': 0.9908, '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'}}], 'keywords': [{'id': 'https://openalex.org/keywords/quasiconvex-function', 'display_name': 'Quasiconvex function', 'score': 0.98826915}, {'id': 'https://openalex.org/keywords/pseudoconvex-function', 'display_name': 'Pseudoconvex function', 'score': 0.685283}, {'id': 'https://openalex.org/keywords/convex-optimization', 'display_name': 'Convex Optimization', 'score': 0.550645}, {'id': 'https://openalex.org/keywords/proper-convex-function', 'display_name': 'Proper convex function', 'score': 0.5284236}, {'id': 'https://openalex.org/keywords/fixed-point-problems', 'display_name': 'Fixed-Point Problems', 'score': 0.507848}, {'id': 'https://openalex.org/keywords/effective-domain', 'display_name': 'Effective domain', 'score': 0.43744022}], 'concepts': [{'id': 'https://openalex.org/C80278974', 'wikidata': 'https://www.wikidata.org/wiki/Q1126412', 'display_name': 'Quasiconvex function', 'level': 5, 'score': 0.98826915}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.7328526}, {'id': 'https://openalex.org/C118888059', 'wikidata': 'https://www.wikidata.org/wiki/Q7254692', 'display_name': 'Pseudoconvex function', 'level': 5, 'score': 0.685283}, {'id': 'https://openalex.org/C12108790', 'wikidata': 'https://www.wikidata.org/wiki/Q2234833', 'display_name': 'Convex analysis', 'level': 4, 'score': 0.57263947}, {'id': 'https://openalex.org/C200661725', 'wikidata': 'https://www.wikidata.org/wiki/Q289500', 'display_name': 'Subderivative', 'level': 4, 'score': 0.552339}, {'id': 'https://openalex.org/C50862404', 'wikidata': 'https://www.wikidata.org/wiki/Q3075259', 'display_name': 'Proper convex function', 'level': 5, 'score': 0.5284236}, {'id': 'https://openalex.org/C112680207', 'wikidata': 'https://www.wikidata.org/wiki/Q714886', 'display_name': 'Regular polygon', 'level': 2, 'score': 0.5082776}, {'id': 'https://openalex.org/C145446738', 'wikidata': 'https://www.wikidata.org/wiki/Q319913', 'display_name': 'Convex function', 'level': 3, 'score': 0.5003681}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.49206823}, {'id': 'https://openalex.org/C58385900', 'wikidata': 'https://www.wikidata.org/wiki/Q5347254', 'display_name': 'Effective domain', 'level': 5, 'score': 0.43744022}, {'id': 'https://openalex.org/C2777212361', 'wikidata': 'https://www.wikidata.org/wiki/Q5127848', 'display_name': 'Class (philosophy)', 'level': 2, 'score': 0.43210387}, {'id': 'https://openalex.org/C58228006', 'wikidata': 'https://www.wikidata.org/wiki/Q1572357', 'display_name': 'Locally convex topological vector space', 'level': 3, 'score': 0.42334837}, {'id': 'https://openalex.org/C14036430', 'wikidata': 'https://www.wikidata.org/wiki/Q3736076', 'display_name': 'Function (biology)', 'level': 2, 'score': 0.41205066}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.37262294}, {'id': 'https://openalex.org/C118615104', 'wikidata': 'https://www.wikidata.org/wiki/Q121416', 'display_name': 'Discrete mathematics', 'level': 1, 'score': 0.3482461}, {'id': 'https://openalex.org/C157972887', 'wikidata': 'https://www.wikidata.org/wiki/Q463359', 'display_name': 'Convex optimization', 'level': 3, 'score': 0.31463224}, {'id': 'https://openalex.org/C81332173', 'wikidata': 'https://www.wikidata.org/wiki/Q179899', 'display_name': 'Topological space', 'level': 2, 'score': 0.28508306}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.18750349}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.08950037}, {'id': 'https://openalex.org/C154945302', 'wikidata': 'https://www.wikidata.org/wiki/Q11660', 'display_name': 'Artificial intelligence', 'level': 1, 'score': 0.08153489}, {'id': 'https://openalex.org/C78458016', 'wikidata': 'https://www.wikidata.org/wiki/Q840400', 'display_name': 'Evolutionary biology', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C86803240', 'wikidata': 'https://www.wikidata.org/wiki/Q420', 'display_name': 'Biology', 'level': 0, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/s11590-014-0781-3', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S12647387', 'display_name': 'Optimization Letters', 'issn_l': '1862-4472', 'issn': ['1862-4472', '1862-4480'], '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/P4310319965', 'https://openalex.org/P4310319900'], 'host_organization_lineage_names': ['Springer Nature', 'Springer Science+Business Media'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [{'score': 0.5, 'id': 'https://metadata.un.org/sdg/10', 'display_name': 'Reduced inequalities'}], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 10, 'referenced_works': ['https://openalex.org/W1989938852', 'https://openalex.org/W2020084878', 'https://openalex.org/W2064551963', 'https://openalex.org/W2071470179', 'https://openalex.org/W2099531205', 'https://openalex.org/W2100932117', 'https://openalex.org/W2114605231', 'https://openalex.org/W2593814001', 'https://openalex.org/W2737047902', 'https://openalex.org/W596728863'], 'related_works': ['https://openalex.org/W4250668019', 'https://openalex.org/W3122166653', 'https://openalex.org/W3021891637', 'https://openalex.org/W2485727134', 'https://openalex.org/W2121426062', 'https://openalex.org/W2101504640', 'https://openalex.org/W2053616442', 'https://openalex.org/W2023539147', 'https://openalex.org/W1527882233', 'https://openalex.org/W1516639947'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2121426062', 'counts_by_year': [{'year': 2022, 'cited_by_count': 2}, {'year': 2018, 'cited_by_count': 1}], 'updated_date': '2024-09-26T23:51:33.349803', 'created_date': '2016-06-24'}