Publication Information

{'id': 'https://openalex.org/W2042737963', 'doi': 'https://doi.org/10.1080/02331939808844392', 'title': 'A generalized upper dini-directional derivation in vector optimization', 'display_name': 'A generalized upper dini-directional derivation in vector optimization', 'publication_year': 1998, 'publication_date': '1998-01-01', 'ids': {'openalex': 'https://openalex.org/W2042737963', 'doi': 'https://doi.org/10.1080/02331939808844392', 'mag': '2042737963'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1080/02331939808844392', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S158016561', 'display_name': 'Optimization', 'issn_l': '0233-1934', 'issn': ['0233-1934', '1026-7662', '1029-4945'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320547', 'host_organization_name': 'Taylor & Francis', 'host_organization_lineage': ['https://openalex.org/P4310320547'], 'host_organization_lineage_names': ['Taylor & Francis'], '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/A5024523994', 'display_name': 'Xiaoqi Yang', 'orcid': 'https://orcid.org/0000-0002-5583-4032'}, 'institutions': [], 'countries': [], 'is_corresponding': True, 'raw_author_name': 'X.Q. Yang', 'raw_affiliation_strings': ['School of Mathematics and Statistics'], 'affiliations': [{'raw_affiliation_string': 'School of Mathematics and Statistics', 'institution_ids': []}]}], 'institution_assertions': [], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': ['https://openalex.org/A5024523994'], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 0.436, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 5, 'citation_normalized_percentile': {'value': 0.568425, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 72, 'max': 73}, 'biblio': {'volume': '43', 'issue': '4', 'first_page': '339', 'last_page': '351'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10545', 'display_name': 'Optimization and Variational Analysis', 'score': 0.9998, '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': 0.9998, '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': 'Advanced Optimization Algorithms Research', 'score': 0.998, '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/T12709', 'display_name': 'Optimization and Mathematical Programming', 'score': 0.9932, 'subfield': {'id': 'https://openalex.org/subfields/2207', 'display_name': 'Control and Systems Engineering'}, 'field': {'id': 'https://openalex.org/fields/22', 'display_name': 'Engineering'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/directional-derivative', 'display_name': 'Directional derivative', 'score': 0.85091984}, {'id': 'https://openalex.org/keywords/pseudoconvex-function', 'display_name': 'Pseudoconvex function', 'score': 0.62325996}, {'id': 'https://openalex.org/keywords/vector-valued-function', 'display_name': 'Vector-valued function', 'score': 0.49802542}, {'id': 'https://openalex.org/keywords/derivative', 'display_name': 'Derivative (finance)', 'score': 0.42296243}], 'concepts': [{'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.8564749}, {'id': 'https://openalex.org/C2011187', 'wikidata': 'https://www.wikidata.org/wiki/Q383851', 'display_name': 'Directional derivative', 'level': 2, 'score': 0.85091984}, {'id': 'https://openalex.org/C22324862', 'wikidata': 'https://www.wikidata.org/wiki/Q652707', 'display_name': 'Lipschitz continuity', 'level': 2, 'score': 0.81879365}, {'id': 'https://openalex.org/C200661725', 'wikidata': 'https://www.wikidata.org/wiki/Q289500', 'display_name': 'Subderivative', 'level': 4, 'score': 0.74833596}, {'id': 'https://openalex.org/C118888059', 'wikidata': 'https://www.wikidata.org/wiki/Q7254692', 'display_name': 'Pseudoconvex function', 'level': 5, 'score': 0.62325996}, {'id': 'https://openalex.org/C164088818', 'wikidata': 'https://www.wikidata.org/wiki/Q7917833', 'display_name': 'Vector optimization', 'level': 4, 'score': 0.5337708}, {'id': 'https://openalex.org/C2456702', 'wikidata': 'https://www.wikidata.org/wiki/Q1375954', 'display_name': 'Vector-valued function', 'level': 2, 'score': 0.49802542}, {'id': 'https://openalex.org/C14036430', 'wikidata': 'https://www.wikidata.org/wiki/Q3736076', 'display_name': 'Function (biology)', 'level': 2, 'score': 0.49226418}, {'id': 'https://openalex.org/C112680207', 'wikidata': 'https://www.wikidata.org/wiki/Q714886', 'display_name': 'Regular polygon', 'level': 2, 'score': 0.47895625}, {'id': 'https://openalex.org/C157972887', 'wikidata': 'https://www.wikidata.org/wiki/Q463359', 'display_name': 'Convex optimization', 'level': 3, 'score': 0.43406838}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.4292387}, {'id': 'https://openalex.org/C111771559', 'wikidata': 'https://www.wikidata.org/wiki/Q66295', 'display_name': 'Derivative (finance)', 'level': 2, 'score': 0.42296243}, {'id': 'https://openalex.org/C28826006', 'wikidata': 'https://www.wikidata.org/wiki/Q33521', 'display_name': 'Applied mathematics', 'level': 1, 'score': 0.41053265}, {'id': 'https://openalex.org/C126255220', 'wikidata': 'https://www.wikidata.org/wiki/Q141495', 'display_name': 'Mathematical optimization', 'level': 1, 'score': 0.39316726}, {'id': 'https://openalex.org/C137836250', 'wikidata': 'https://www.wikidata.org/wiki/Q984063', 'display_name': 'Optimization problem', 'level': 2, 'score': 0.34793967}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.14656112}, {'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}, {'id': 'https://openalex.org/C122357587', 'wikidata': 'https://www.wikidata.org/wiki/Q6934508', 'display_name': 'Multi-swarm optimization', 'level': 3, 'score': 0.0}, {'id': 'https://openalex.org/C106159729', 'wikidata': 'https://www.wikidata.org/wiki/Q2294553', 'display_name': 'Financial economics', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C162324750', 'wikidata': 'https://www.wikidata.org/wiki/Q8134', 'display_name': 'Economics', 'level': 0, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1080/02331939808844392', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S158016561', 'display_name': 'Optimization', 'issn_l': '0233-1934', 'issn': ['0233-1934', '1026-7662', '1029-4945'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320547', 'host_organization_name': 'Taylor & Francis', 'host_organization_lineage': ['https://openalex.org/P4310320547'], 'host_organization_lineage_names': ['Taylor & Francis'], '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': 11, 'referenced_works': ['https://openalex.org/W1551360398', 'https://openalex.org/W1976214889', 'https://openalex.org/W2001492912', 'https://openalex.org/W2010089725', 'https://openalex.org/W2024660324', 'https://openalex.org/W2030322501', 'https://openalex.org/W2040577275', 'https://openalex.org/W2046756870', 'https://openalex.org/W2073431727', 'https://openalex.org/W2081186484', 'https://openalex.org/W2802620382'], 'related_works': ['https://openalex.org/W2377750169', 'https://openalex.org/W2356958610', 'https://openalex.org/W2349507575', 'https://openalex.org/W2101504640', 'https://openalex.org/W2072707988', 'https://openalex.org/W2046144679', 'https://openalex.org/W2042737963', 'https://openalex.org/W2023539147', 'https://openalex.org/W198869599', 'https://openalex.org/W179904671'], 'abstract_inverted_index': {'In': [0], 'this': [1, 27], 'paper,': [2], 'a': [3, 12, 41, 45, 54, 59, 66], 'set-valued': [4], 'generalized': [5], 'upper': [6, 28, 34], 'Dini-directional': [7, 29, 35], 'derivative': [8, 30, 36], 'is': [9, 37], 'introduced': [10], 'for': [11, 53], 'locally': [13, 60], 'lipschitz': [14], 'vector-valued': [15, 62], 'function.': [16], 'Some': [17], 'properties,': [18], 'such': [19], 'as': [20], 'sum': [21], 'formula': [22], 'and': [23, 44, 48], 'chain': [24], 'rule,': [25], 'of': [26], 'are': [31], 'derived.': [32], 'This': [33], 'applied': [38], 'to': [39, 49], 'characterize': [40], 'cone-convex': [42], 'function': [43, 64], 'vector': [46], 'subdifferential': [47], 'derive': [50], 'optimality': [51], 'conditions': [52], 'multi-objective': [55], 'optimization': [56], 'problem': [57], 'with': [58], 'Lipschitz': [61], 'objective': [63], 'over': [65], 'convex': [67], 'set.': [68]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2042737963', 'counts_by_year': [{'year': 2019, 'cited_by_count': 1}], 'updated_date': '2024-12-11T09:32:52.507675', 'created_date': '2016-06-24'}