{"id":"https://openalex.org/W4298006552","doi":"https://doi.org/10.1007/s10957-022-02111-1","title":"Levitin\u2013Polyak Well-Posedness by Perturbations for the Split Hemivariational Inequality Problem on Hadamard\u00a0Manifolds","display_name":"Levitin\u2013Polyak Well-Posedness by Perturbations for the Split Hemivariational Inequality Problem on Hadamard\u00a0Manifolds","publication_year":2022,"publication_date":"2022-09-29","ids":{"openalex":"https://openalex.org/W4298006552","doi":"https://doi.org/10.1007/s10957-022-02111-1"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-022-02111-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-022-02111-1","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/A5102756899","display_name":"V\u00f5 Minh T\u00e2m","orcid":"https://orcid.org/0000-0002-3959-5449"},"institutions":[{"id":"https://openalex.org/I4210160086","display_name":"Dong Thap University","ror":"https://ror.org/05h7nhz20","country_code":"VN","type":"education","lineage":["https://openalex.org/I4210160086"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"Vo Minh Tam","raw_affiliation_strings":["Faculty of Mathematics - Information Technology Teacher Education, Dong Thap University, Cao Lanh City, Dong Thap, Vietnam"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics - Information Technology Teacher Education, Dong Thap University, Cao Lanh City, Dong Thap, Vietnam","institution_ids":["https://openalex.org/I4210160086"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056931251","display_name":"Nguy\u1ec5n V\u0103n H\u00f9ng","orcid":"https://orcid.org/0000-0002-6123-1916"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Nguyen Van Hung","raw_affiliation_strings":["Department of Scientific Fundamentals, Posts and Telecommunications Institute of Technology, Ho Chi Minh City, Vietnam"],"raw_orcid":"https://orcid.org/0000-0002-6123-1916","affiliations":[{"raw_affiliation_string":"Department of Scientific Fundamentals, Posts and Telecommunications Institute of Technology, Ho Chi Minh City, Vietnam","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009373696","display_name":"Zhenhai Liu","orcid":"https://orcid.org/0000-0001-6022-1970"},"institutions":[{"id":"https://openalex.org/I145897649","display_name":"Minzu University of China","ror":"https://ror.org/0044e2g62","country_code":"CN","type":"education","lineage":["https://openalex.org/I145897649"]},{"id":"https://openalex.org/I150807315","display_name":"Guangxi University","ror":"https://ror.org/02c9qn167","country_code":"CN","type":"education","lineage":["https://openalex.org/I150807315"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhenhai Liu","raw_affiliation_strings":["Guangxi Key Laboratory of Hybrid Computation and IC Design Analysis, Guangxi Minzu University, Nanning, 530006, Guangxi, People\u2019s Republic of China","Guangxi Key Laboratory of Hybrid Computation and IC Design Analysis, Guangxi Minzu University, Nanning, 530006, Guangxi, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Guangxi Key Laboratory of Hybrid Computation and IC Design Analysis, Guangxi Minzu University, Nanning, 530006, Guangxi, People\u2019s Republic of China","institution_ids":["https://openalex.org/I150807315"]},{"raw_affiliation_string":"Guangxi Key Laboratory of Hybrid Computation and IC Design Analysis, Guangxi Minzu University, Nanning, 530006, Guangxi, People's Republic of China","institution_ids":["https://openalex.org/I145897649"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108677643","display_name":"Jen Chih Yao","orcid":null},"institutions":[{"id":"https://openalex.org/I184693016","display_name":"China Medical University","ror":"https://ror.org/00v408z34","country_code":"TW","type":"education","lineage":["https://openalex.org/I184693016"]},{"id":"https://openalex.org/I4210126829","display_name":"China Medical University Hospital","ror":"https://ror.org/0368s4g32","country_code":"TW","type":"healthcare","lineage":["https://openalex.org/I4210126829"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Jen Chih Yao","raw_affiliation_strings":["Research Center for Interneural Computing, China Medical University Hospital, China Medical University, Taichung, Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Research Center for Interneural Computing, China Medical University Hospital, China Medical University, Taichung, Taiwan","institution_ids":["https://openalex.org/I4210126829","https://openalex.org/I184693016"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5056931251"],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.5085,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.84710759,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"195","issue":"2","first_page":"684","last_page":"706"},"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":0.9818999767303467,"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/T10842","display_name":"Railway Engineering and Dynamics","score":0.9602000117301941,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/hadamard-transform","display_name":"Hadamard transform","score":0.9044512510299683},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8448766469955444},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.5322973728179932},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4872061610221863},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4815942943096161},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4758336544036865},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.46058884263038635},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.42910507321357727},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2994561791419983},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.07817021012306213},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06725430488586426}],"concepts":[{"id":"https://openalex.org/C60292330","wikidata":"https://www.wikidata.org/wiki/Q1014065","display_name":"Hadamard transform","level":2,"score":0.9044512510299683},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8448766469955444},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.5322973728179932},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4872061610221863},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4815942943096161},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4758336544036865},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.46058884263038635},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.42910507321357727},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2994561791419983},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.07817021012306213},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06725430488586426},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10957-022-02111-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-022-02111-1","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:195:y:2022:i:2:d:10.1007_s10957-022-02111-1","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-022-02111-1","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":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.5400000214576721}],"awards":[{"id":"https://openalex.org/G3630128105","display_name":null,"funder_award_id":"12071413","funder_id":"https://openalex.org/F4320322828","funder_display_name":"Ministry of National Defense, People's Republic of China"},{"id":"https://openalex.org/G4901584185","display_name":null,"funder_award_id":"B2021.SPD.03.","funder_id":"https://openalex.org/F4320323346","funder_display_name":"B\u1ed9 Gi\u00e1o d\u1ee5c v\u00e0 \u00d0\u00e0o t\u1ea1o"}],"funders":[{"id":"https://openalex.org/F4320322828","display_name":"Ministry of National Defense, People's Republic of China","ror":"https://ror.org/03t0a5k13"},{"id":"https://openalex.org/F4320323346","display_name":"B\u1ed9 Gi\u00e1o d\u1ee5c v\u00e0 \u00d0\u00e0o t\u1ea1o","ror":"https://ror.org/00drv3378"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W1710475132","https://openalex.org/W1966627654","https://openalex.org/W1978282155","https://openalex.org/W1984182265","https://openalex.org/W1984617485","https://openalex.org/W1988539966","https://openalex.org/W1989651752","https://openalex.org/W1993962399","https://openalex.org/W2007556045","https://openalex.org/W2019604114","https://openalex.org/W2038829168","https://openalex.org/W2040354950","https://openalex.org/W2063258590","https://openalex.org/W2066551529","https://openalex.org/W2070540581","https://openalex.org/W2093591383","https://openalex.org/W2132528752","https://openalex.org/W2150195104","https://openalex.org/W2155161834","https://openalex.org/W2205850410","https://openalex.org/W2322246746","https://openalex.org/W2344808323","https://openalex.org/W2484453099","https://openalex.org/W2508950709","https://openalex.org/W2519645286","https://openalex.org/W2558007839","https://openalex.org/W2791757471","https://openalex.org/W2887220163","https://openalex.org/W2893613551","https://openalex.org/W2963972749","https://openalex.org/W2996366331","https://openalex.org/W3003087260","https://openalex.org/W3007261590","https://openalex.org/W3033538723","https://openalex.org/W3097646846","https://openalex.org/W3120367604","https://openalex.org/W3122244759","https://openalex.org/W3128628717","https://openalex.org/W3196029682","https://openalex.org/W3196587955","https://openalex.org/W3208306027","https://openalex.org/W4206129613","https://openalex.org/W4212889321","https://openalex.org/W4235476591","https://openalex.org/W4246883249","https://openalex.org/W4248253146","https://openalex.org/W4307601488"],"related_works":["https://openalex.org/W2116282083","https://openalex.org/W1982241170","https://openalex.org/W2386549147","https://openalex.org/W1978051046","https://openalex.org/W2950361249","https://openalex.org/W117514602","https://openalex.org/W2012411066","https://openalex.org/W1553886475","https://openalex.org/W4248531671","https://openalex.org/W1534096932"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":5},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}