Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2062185059', 'doi': 'https://doi.org/10.1016/0021-9045(77)90070-3', 'title': 'An application of a fixed point theorem to best approximation', 'display_name': 'An application of a fixed point theorem to best approximation', 'publication_year': 1977, 'publication_date': '1977-06-01', 'ids': {'openalex': 'https://openalex.org/W2062185059', 'doi': 'https://doi.org/10.1016/0021-9045(77)90070-3', 'mag': '2062185059'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1016/0021-9045(77)90070-3', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S35093870', 'display_name': 'Journal of Approximation Theory', 'issn_l': '0021-9045', 'issn': ['0021-9045', '1096-0430'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320990', 'host_organization_name': 'Elsevier BV', 'host_organization_lineage': ['https://openalex.org/P4310320990'], 'host_organization_lineage_names': ['Elsevier BV'], '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/A5109194665', 'display_name': 'P. V. Subrahmanyam', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I24676775', 'display_name': 'Indian Institute of Technology Madras', 'ror': 'https://ror.org/03v0r5n49', 'country_code': 'IN', 'type': 'facility', 'lineage': ['https://openalex.org/I24676775']}], 'countries': ['IN'], 'is_corresponding': True, 'raw_author_name': 'P.V Subrahmanyam', 'raw_affiliation_strings': ['Dept. of Mathematics, Indian Inst. of Technology, Madras‐600036, India'], 'affiliations': [{'raw_affiliation_string': 'Dept. of Mathematics, Indian Inst. of Technology, Madras‐600036, India', 'institution_ids': ['https://openalex.org/I24676775']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': ['https://openalex.org/A5109194665'], 'corresponding_institution_ids': ['https://openalex.org/I24676775'], 'apc_list': {'value': 2720, 'currency': 'USD', 'value_usd': 2720, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 0.0, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 64, 'citation_normalized_percentile': {'value': 0.864823, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 95, 'max': 96}, 'biblio': {'volume': '20', 'issue': '2', 'first_page': '165', 'last_page': '172'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T13400', 'display_name': 'Mathematical and Theoretical Analysis', 'score': 0.9835, 'subfield': {'id': 'https://openalex.org/subfields/2610', 'display_name': 'Mathematical Physics'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, 'topics': [{'id': 'https://openalex.org/T13400', 'display_name': 'Mathematical and Theoretical Analysis', 'score': 0.9835, 'subfield': {'id': 'https://openalex.org/subfields/2610', 'display_name': 'Mathematical Physics'}, '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/T12508', 'display_name': 'Functional Equations Stability Results', 'score': 0.9204, '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'}}], 'keywords': [{'id': 'https://openalex.org/keywords/kakutani-fixed-point-theorem', 'display_name': 'Kakutani fixed-point theorem', 'score': 0.512953}, {'id': 'https://openalex.org/keywords/fixed-point-property', 'display_name': 'Fixed-point property', 'score': 0.47297943}], 'concepts': [{'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.8904445}, {'id': 'https://openalex.org/C45962547', 'wikidata': 'https://www.wikidata.org/wiki/Q1422068', 'display_name': 'Fixed-point theorem', 'level': 2, 'score': 0.8324928}, {'id': 'https://openalex.org/C146147875', 'wikidata': 'https://www.wikidata.org/wiki/Q1144897', 'display_name': 'Brouwer fixed-point theorem', 'level': 3, 'score': 0.755304}, {'id': 'https://openalex.org/C28642324', 'wikidata': 'https://www.wikidata.org/wiki/Q656176', 'display_name': 'Schauder fixed point theorem', 'level': 4, 'score': 0.60365397}, {'id': 'https://openalex.org/C206929604', 'wikidata': 'https://www.wikidata.org/wiki/Q530152', 'display_name': 'Picard–Lindelöf theorem', 'level': 3, 'score': 0.5611383}, {'id': 'https://openalex.org/C134618013', 'wikidata': 'https://www.wikidata.org/wiki/Q518524', 'display_name': 'Kakutani fixed-point theorem', 'level': 5, 'score': 0.512953}, {'id': 'https://openalex.org/C118615104', 'wikidata': 'https://www.wikidata.org/wiki/Q121416', 'display_name': 'Discrete mathematics', 'level': 1, 'score': 0.48583218}, {'id': 'https://openalex.org/C105720234', 'wikidata': 'https://www.wikidata.org/wiki/Q5456331', 'display_name': 'Fixed-point property', 'level': 3, 'score': 0.47297943}, {'id': 'https://openalex.org/C194886279', 'wikidata': 'https://www.wikidata.org/wiki/Q430271', 'display_name': 'Fundamental theorem', 'level': 3, 'score': 0.42932376}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.36046708}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1016/0021-9045(77)90070-3', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S35093870', 'display_name': 'Journal of Approximation Theory', 'issn_l': '0021-9045', 'issn': ['0021-9045', '1096-0430'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320990', 'host_organization_name': 'Elsevier BV', 'host_organization_lineage': ['https://openalex.org/P4310320990'], 'host_organization_lineage_names': ['Elsevier BV'], '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': 6, 'referenced_works': ['https://openalex.org/W1980761056', 'https://openalex.org/W2053487511', 'https://openalex.org/W2082286883', 'https://openalex.org/W2152235536', 'https://openalex.org/W2276440937', 'https://openalex.org/W4246287333'], 'related_works': ['https://openalex.org/W4236566102', 'https://openalex.org/W3180852857', 'https://openalex.org/W3160581193', 'https://openalex.org/W3122576983', 'https://openalex.org/W2601856395', 'https://openalex.org/W2507075888', 'https://openalex.org/W2506139452', 'https://openalex.org/W2391238336', 'https://openalex.org/W2204596120', 'https://openalex.org/W2086713333'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2062185059', 'counts_by_year': [{'year': 2023, 'cited_by_count': 1}, {'year': 2016, 'cited_by_count': 1}, {'year': 2014, 'cited_by_count': 5}, {'year': 2012, 'cited_by_count': 5}], 'updated_date': '2024-12-11T04:30:40.142103', 'created_date': '2016-06-24'}