{"id":"https://openalex.org/W3047050198","doi":"https://doi.org/10.1080/00207160.2020.1802014","title":"Projection/fixed point method for solving a semilinear obstacle problem","display_name":"Projection/fixed point method for solving a semilinear obstacle problem","publication_year":2020,"publication_date":"2020-08-03","ids":{"openalex":"https://openalex.org/W3047050198","doi":"https://doi.org/10.1080/00207160.2020.1802014","mag":"3047050198"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2020.1802014","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2020.1802014","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"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","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5074523554","display_name":"Zhor Mellah","orcid":"https://orcid.org/0000-0002-2683-0454"},"institutions":[{"id":"https://openalex.org/I4210108110","display_name":"Mohamed I University","ror":"https://ror.org/01ejxf797","country_code":"MA","type":"education","lineage":["https://openalex.org/I4210108110"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"Zhor Mellah","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, University Mohammed Premier, Oujda, Morocco"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, University Mohammed Premier, Oujda, Morocco","institution_ids":["https://openalex.org/I4210108110"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065392778","display_name":"El Bekkaye Mermri","orcid":"https://orcid.org/0000-0002-2280-5569"},"institutions":[{"id":"https://openalex.org/I4210108110","display_name":"Mohamed I University","ror":"https://ror.org/01ejxf797","country_code":"MA","type":"education","lineage":["https://openalex.org/I4210108110"]}],"countries":["MA"],"is_corresponding":true,"raw_author_name":"El Bekkaye Mermri","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, University Mohammed Premier, Oujda, Morocco"],"raw_orcid":"https://orcid.org/0000-0002-2280-5569","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, University Mohammed Premier, Oujda, Morocco","institution_ids":["https://openalex.org/I4210108110"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5065392778"],"corresponding_institution_ids":["https://openalex.org/I4210108110"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.15144672,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"98","issue":"5","first_page":"999","last_page":"1014"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13855","display_name":"Aerospace Engineering and Control Systems","score":0.9902999997138977,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13855","display_name":"Aerospace Engineering and Control Systems","score":0.9902999997138977,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9900000095367432,"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/T12158","display_name":"Guidance and Control Systems","score":0.9886999726295471,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/mathematics","display_name":"Mathematics","score":0.7616974115371704},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.6534450650215149},{"id":"https://openalex.org/keywords/obstacle-problem","display_name":"Obstacle problem","score":0.634555459022522},{"id":"https://openalex.org/keywords/obstacle","display_name":"Obstacle","score":0.6149234771728516},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.6061567664146423},{"id":"https://openalex.org/keywords/projection-method","display_name":"Projection method","score":0.5586186051368713},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.46056562662124634},{"id":"https://openalex.org/keywords/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.4101269841194153},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3858916163444519},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3776206970214844},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3716523051261902},{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.3635956645011902},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3427509069442749},{"id":"https://openalex.org/keywords/dykstras-projection-algorithm","display_name":"Dykstra's projection algorithm","score":0.25252461433410645},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2457575798034668},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.23141810297966003}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7616974115371704},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.6534450650215149},{"id":"https://openalex.org/C132369183","wikidata":"https://www.wikidata.org/wiki/Q3406250","display_name":"Obstacle problem","level":3,"score":0.634555459022522},{"id":"https://openalex.org/C2776650193","wikidata":"https://www.wikidata.org/wiki/Q264661","display_name":"Obstacle","level":2,"score":0.6149234771728516},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.6061567664146423},{"id":"https://openalex.org/C65557600","wikidata":"https://www.wikidata.org/wiki/Q7249451","display_name":"Projection method","level":3,"score":0.5586186051368713},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.46056562662124634},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.4101269841194153},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3858916163444519},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3776206970214844},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3716523051261902},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.3635956645011902},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3427509069442749},{"id":"https://openalex.org/C202426404","wikidata":"https://www.wikidata.org/wiki/Q5318686","display_name":"Dykstra's projection algorithm","level":2,"score":0.25252461433410645},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2457575798034668},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.23141810297966003},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160.2020.1802014","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2020.1802014","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"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","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.5799999833106995}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1516681311","https://openalex.org/W1982355347","https://openalex.org/W1983093808","https://openalex.org/W1986643641","https://openalex.org/W2020087108","https://openalex.org/W2062493851","https://openalex.org/W2066764892","https://openalex.org/W2083276157","https://openalex.org/W2151902790","https://openalex.org/W2890831887","https://openalex.org/W2985272081","https://openalex.org/W4251401614","https://openalex.org/W4292311687"],"related_works":["https://openalex.org/W2275565576","https://openalex.org/W2951022852","https://openalex.org/W2066764892","https://openalex.org/W1989743438","https://openalex.org/W2041307625","https://openalex.org/W2616717838","https://openalex.org/W4238417450","https://openalex.org/W1993397232","https://openalex.org/W1967850176","https://openalex.org/W1518141773"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,48,67],"present":[4,49,68],"a":[5,8,14,32],"reformulation":[6],"of":[7,23,31,43,71,79],"unilateral":[9],"semilinear":[10],"obstacle":[11],"problem":[12,17,61,74],"as":[13],"projection/fixed":[15],"point":[16],"based":[18],"on":[19],"appropriate":[20],"variational":[21],"inequality":[22],"the":[24,28,41,44,50,54,59,69,72,77,80,84],"second":[25],"kind":[26],"and":[27,75],"subdifferential":[29],"\u03bc":[30,38],"convex":[33],"continuous":[34,60],"function.":[35],"The":[36],"function":[37],"leads":[39],"to":[40,52,83],"characterization":[42],"contact":[45],"domain.":[46],"Then":[47],"algorithms":[51],"solve":[53],"reformulated":[55],"problem.":[56],"We":[57],"approximate":[58,81],"by":[62],"finite":[63],"element":[64],"method,":[65],"then":[66],"analysis":[70],"discrete":[73],"prove":[76],"convergence":[78],"solutions":[82],"exact":[85],"one.":[86]},"counts_by_year":[],"updated_date":"2026-08-15T07:11:24.734988","created_date":"2025-10-10T00:00:00"}