Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2169519573', 'doi': 'https://doi.org/10.1007/s10898-014-0255-2', 'title': 'Characterizations of the solution set for quasiconvex programming in terms of Greenberg–Pierskalla subdifferential', 'display_name': 'Characterizations of the solution set for quasiconvex programming in terms of Greenberg–Pierskalla subdifferential', 'publication_year': 2014, 'publication_date': '2014-12-19', 'ids': {'openalex': 'https://openalex.org/W2169519573', 'doi': 'https://doi.org/10.1007/s10898-014-0255-2', 'mag': '2169519573'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/s10898-014-0255-2', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S115925768', 'display_name': 'Journal of Global Optimization', 'issn_l': '0925-5001', 'issn': ['0925-5001', '1573-2916'], '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/A5103055800', 'display_name': 'Satoshi Suzuki', 'orcid': 'https://orcid.org/0000-0003-1341-2808'}, 'institutions': [{'id': 'https://openalex.org/I169016828', 'display_name': 'Shimane University', 'ror': 'https://ror.org/01jaaym28', 'country_code': 'JP', 'type': 'education', 'lineage': ['https://openalex.org/I169016828']}], 'countries': ['JP'], 'is_corresponding': True, 'raw_author_name': 'Satoshi Suzuki', 'raw_affiliation_strings': ['Department of Mathematics, Shimane University, Matsue, Japan'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics, Shimane University, Matsue, Japan', 'institution_ids': ['https://openalex.org/I169016828']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5046487937', 'display_name': 'Daishi Kuroiwa', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I169016828', 'display_name': 'Shimane University', 'ror': 'https://ror.org/01jaaym28', 'country_code': 'JP', 'type': 'education', 'lineage': ['https://openalex.org/I169016828']}], 'countries': ['JP'], 'is_corresponding': False, 'raw_author_name': 'Daishi Kuroiwa', 'raw_affiliation_strings': ['Department of Mathematics, Shimane University, Matsue, Japan'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics, Shimane University, Matsue, Japan', 'institution_ids': ['https://openalex.org/I169016828']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': ['https://openalex.org/A5103055800'], 'corresponding_institution_ids': ['https://openalex.org/I169016828'], 'apc_list': {'value': 2190, 'currency': 'EUR', 'value_usd': 2780, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 0.958, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 18, 'citation_normalized_percentile': {'value': 0.842009, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 90, 'max': 91}, 'biblio': {'volume': '62', 'issue': '3', 'first_page': '431', 'last_page': '441'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10545', 'display_name': 'Iterative Algorithms for Nonlinear Operators and Optimization', 'score': 1.0, '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': 1.0, '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': 'Numerical Optimization Techniques', 'score': 0.9871, '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/T11777', 'display_name': 'Fixed Point Theorems in Metric Spaces', 'score': 0.9803, '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/quasiconvex-function', 'display_name': 'Quasiconvex function', 'score': 0.96458507}, {'id': 'https://openalex.org/keywords/semidefinite-programming', 'display_name': 'Semidefinite Programming', 'score': 0.549731}], 'concepts': [{'id': 'https://openalex.org/C80278974', 'wikidata': 'https://www.wikidata.org/wiki/Q1126412', 'display_name': 'Quasiconvex function', 'level': 5, 'score': 0.96458507}, {'id': 'https://openalex.org/C200661725', 'wikidata': 'https://www.wikidata.org/wiki/Q289500', 'display_name': 'Subderivative', 'level': 4, 'score': 0.950228}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.81054366}, {'id': 'https://openalex.org/C189950617', 'wikidata': 'https://www.wikidata.org/wiki/Q937228', 'display_name': 'Property (philosophy)', 'level': 2, 'score': 0.5787839}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.3986115}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.3856851}, {'id': 'https://openalex.org/C126255220', 'wikidata': 'https://www.wikidata.org/wiki/Q141495', 'display_name': 'Mathematical optimization', 'level': 1, 'score': 0.33401006}, {'id': 'https://openalex.org/C112680207', 'wikidata': 'https://www.wikidata.org/wiki/Q714886', 'display_name': 'Regular polygon', 'level': 2, 'score': 0.26995534}, {'id': 'https://openalex.org/C157972887', 'wikidata': 'https://www.wikidata.org/wiki/Q463359', 'display_name': 'Convex optimization', 'level': 3, 'score': 0.17856514}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.10066602}, {'id': 'https://openalex.org/C138885662', 'wikidata': 'https://www.wikidata.org/wiki/Q5891', 'display_name': 'Philosophy', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C111472728', 'wikidata': 'https://www.wikidata.org/wiki/Q9471', 'display_name': 'Epistemology', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/s10898-014-0255-2', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S115925768', 'display_name': 'Journal of Global Optimization', 'issn_l': '0925-5001', 'issn': ['0925-5001', '1573-2916'], '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': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 28, 'referenced_works': ['https://openalex.org/W1369132', 'https://openalex.org/W164831421', 'https://openalex.org/W1980908866', 'https://openalex.org/W1994433358', 'https://openalex.org/W1998605937', 'https://openalex.org/W1998988522', 'https://openalex.org/W2015381910', 'https://openalex.org/W2016824559', 'https://openalex.org/W2021281641', 'https://openalex.org/W2023539147', 'https://openalex.org/W2029127661', 'https://openalex.org/W2032292661', 'https://openalex.org/W2041389440', 'https://openalex.org/W2043483408', 'https://openalex.org/W2057938832', 'https://openalex.org/W2059748770', 'https://openalex.org/W2063945453', 'https://openalex.org/W2067170864', 'https://openalex.org/W2068436216', 'https://openalex.org/W2081453379', 'https://openalex.org/W2082772700', 'https://openalex.org/W2089735459', 'https://openalex.org/W2128637980', 'https://openalex.org/W2134104994', 'https://openalex.org/W2513004603', 'https://openalex.org/W25812217', 'https://openalex.org/W3129885716', 'https://openalex.org/W70662176'], 'related_works': ['https://openalex.org/W4226270436', 'https://openalex.org/W2522923325', 'https://openalex.org/W2181909002', 'https://openalex.org/W2169519573', 'https://openalex.org/W2101504640', 'https://openalex.org/W2057676055', 'https://openalex.org/W2043483408', 'https://openalex.org/W2023539147', 'https://openalex.org/W158259147', 'https://openalex.org/W136137658'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2169519573', 'counts_by_year': [{'year': 2024, 'cited_by_count': 1}, {'year': 2023, 'cited_by_count': 3}, {'year': 2022, 'cited_by_count': 1}, {'year': 2020, 'cited_by_count': 3}, {'year': 2019, 'cited_by_count': 5}, {'year': 2018, 'cited_by_count': 1}, {'year': 2017, 'cited_by_count': 2}, {'year': 2016, 'cited_by_count': 1}, {'year': 2013, 'cited_by_count': 1}], 'updated_date': '2024-09-18T02:12:56.647131', 'created_date': '2016-06-24'}