{"id":"https://openalex.org/W2767031659","doi":"https://doi.org/10.1007/s10957-017-1181-5","title":"Weak Sharp Solutions for Nonsmooth Variational Inequalities","display_name":"Weak Sharp Solutions for Nonsmooth Variational Inequalities","publication_year":2017,"publication_date":"2017-11-02","ids":{"openalex":"https://openalex.org/W2767031659","doi":"https://doi.org/10.1007/s10957-017-1181-5","mag":"2767031659"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-017-1181-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-017-1181-5","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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":"Journal of Optimization Theory and Applications","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/A5002577873","display_name":"Suliman Al\u2010Homidan","orcid":"https://orcid.org/0000-0002-5998-0635"},"institutions":[{"id":"https://openalex.org/I134085113","display_name":"King Fahd University of Petroleum and Minerals","ror":"https://ror.org/03yez3163","country_code":"SA","type":"education","lineage":["https://openalex.org/I134085113"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Suliman Al-Homidan","raw_affiliation_strings":["Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia","institution_ids":["https://openalex.org/I134085113"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047783011","display_name":"Qamrul Hasan Ansari","orcid":"https://orcid.org/0000-0002-0707-7372"},"institutions":[{"id":"https://openalex.org/I134085113","display_name":"King Fahd University of Petroleum and Minerals","ror":"https://ror.org/03yez3163","country_code":"SA","type":"education","lineage":["https://openalex.org/I134085113"]},{"id":"https://openalex.org/I171210897","display_name":"Aligarh Muslim University","ror":"https://ror.org/03kw9gc02","country_code":"IN","type":"education","lineage":["https://openalex.org/I171210897"]}],"countries":["IN","SA"],"is_corresponding":true,"raw_author_name":"Qamrul Hasan Ansari","raw_affiliation_strings":["Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia","Department of Mathematics, Aligarh Muslim University, Aligarh, 202 002, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia","institution_ids":["https://openalex.org/I134085113"]},{"raw_affiliation_string":"Department of Mathematics, Aligarh Muslim University, Aligarh, 202 002, India","institution_ids":["https://openalex.org/I171210897"]}]},{"author_position":"last","author":{"id":null,"display_name":"Luong Van Nguyen","orcid":null},"institutions":[{"id":"https://openalex.org/I4210159515","display_name":"H\u1ed3ng \u0110\u1ee9c University","ror":"https://ror.org/05dp8mg49","country_code":"VN","type":"education","lineage":["https://openalex.org/I4210159515"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"Luong Van Nguyen","raw_affiliation_strings":["Department of Natural Science, Hong Duc University, Thanh Hoa, Vietnam"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Natural Science, Hong Duc University, Thanh Hoa, Vietnam","institution_ids":["https://openalex.org/I4210159515"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5047783011"],"corresponding_institution_ids":["https://openalex.org/I134085113","https://openalex.org/I171210897"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":1.2746,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.82522893,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"175","issue":"3","first_page":"683","last_page":"701"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.9998999834060669,"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/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.9998999834060669,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9997000098228455,"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/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9987999796867371,"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/mathematics","display_name":"Mathematics","score":0.8363475203514099},{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.8339242935180664},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6833493113517761},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.5598247647285461},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.47411611676216125},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.4139377176761627},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4059881865978241},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3931055963039398},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.09797719120979309}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8363475203514099},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.8339242935180664},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6833493113517761},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.5598247647285461},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47411611676216125},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.4139377176761627},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4059881865978241},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3931055963039398},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.09797719120979309},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10957-017-1181-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-017-1181-5","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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":"Journal of Optimization Theory and Applications","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:joptap:v:175:y:2017:i:3:d:10.1007_s10957-017-1181-5","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-017-1181-5","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.5299999713897705}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W580431932","https://openalex.org/W657454232","https://openalex.org/W1997614177","https://openalex.org/W2022922836","https://openalex.org/W2037274637","https://openalex.org/W2064114733","https://openalex.org/W2073044751","https://openalex.org/W2077269319","https://openalex.org/W2091972146","https://openalex.org/W2160775101","https://openalex.org/W4241705128","https://openalex.org/W4249667877"],"related_works":["https://openalex.org/W4229662703","https://openalex.org/W2912068861","https://openalex.org/W2154156163","https://openalex.org/W3118444755","https://openalex.org/W1516315808","https://openalex.org/W1983306337","https://openalex.org/W55544075","https://openalex.org/W2303285293","https://openalex.org/W1982711171","https://openalex.org/W2963348356"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}