{"id":"https://openalex.org/W2062232191","doi":"https://doi.org/10.1155/2012/125373","title":"Iterative Schemes for a Class of Mixed Trifunction Variational Inequalities","display_name":"Iterative Schemes for a Class of Mixed Trifunction Variational Inequalities","publication_year":2011,"publication_date":"2011-12-08","ids":{"openalex":"https://openalex.org/W2062232191","doi":"https://doi.org/10.1155/2012/125373","mag":"2062232191"},"language":"en","primary_location":{"id":"doi:10.1155/2012/125373","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/125373","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/125373.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2012/125373.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5087578803","display_name":"Muhammad Aslam Noor","orcid":"https://orcid.org/0000-0001-6105-2435"},"institutions":[{"id":"https://openalex.org/I16076960","display_name":"COMSATS University Islamabad","ror":"https://ror.org/00nqqvk19","country_code":"PK","type":"education","lineage":["https://openalex.org/I16076960"]},{"id":"https://openalex.org/I28022161","display_name":"King Saud University","ror":"https://ror.org/02f81g417","country_code":"SA","type":"education","lineage":["https://openalex.org/I28022161"]},{"id":"https://openalex.org/I4210132213","display_name":"Science & Technology Park (Czechia)","ror":"https://ror.org/03ftcvv28","country_code":"CZ","type":"other","lineage":["https://openalex.org/I4210132213"]},{"id":"https://openalex.org/I118692353","display_name":"University of Science and Technology","ror":"https://ror.org/05bj7sh33","country_code":"YE","type":"education","lineage":["https://openalex.org/I118692353"]}],"countries":["CZ","PK","SA","YE"],"is_corresponding":true,"raw_author_name":"Muhammad Aslam Noor","raw_affiliation_strings":["Mathematics Department, COMSATS University of Science and Technology, Park Road, Islamabad, Pakistan","Mathematics Department, College of Science, King Saud University, Riyadh 11451, Saudi Arabia","Mathematics Department, COMSATS University of Science and Technology, Park Road, Islamabad","Mathematics Department, College of Science, King Saud University, Riyadh 11451"],"affiliations":[{"raw_affiliation_string":"Mathematics Department, COMSATS University of Science and Technology, Park Road, Islamabad, Pakistan","institution_ids":["https://openalex.org/I16076960"]},{"raw_affiliation_string":"Mathematics Department, College of Science, King Saud University, Riyadh 11451, Saudi Arabia","institution_ids":["https://openalex.org/I28022161"]},{"raw_affiliation_string":"Mathematics Department, COMSATS University of Science and Technology, Park Road, Islamabad","institution_ids":["https://openalex.org/I16076960","https://openalex.org/I118692353","https://openalex.org/I4210132213"]},{"raw_affiliation_string":"Mathematics Department, College of Science, King Saud University, Riyadh 11451","institution_ids":["https://openalex.org/I28022161"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060630057","display_name":"Khalida Inayat Noor","orcid":"https://orcid.org/0000-0002-5000-3870"},"institutions":[{"id":"https://openalex.org/I16076960","display_name":"COMSATS University Islamabad","ror":"https://ror.org/00nqqvk19","country_code":"PK","type":"education","lineage":["https://openalex.org/I16076960"]},{"id":"https://openalex.org/I4210132213","display_name":"Science & Technology Park (Czechia)","ror":"https://ror.org/03ftcvv28","country_code":"CZ","type":"other","lineage":["https://openalex.org/I4210132213"]},{"id":"https://openalex.org/I118692353","display_name":"University of Science and Technology","ror":"https://ror.org/05bj7sh33","country_code":"YE","type":"education","lineage":["https://openalex.org/I118692353"]}],"countries":["CZ","PK","YE"],"is_corresponding":false,"raw_author_name":"Khalida Inayat Noor","raw_affiliation_strings":["Mathematics Department, COMSATS University of Science and Technology, Park Road, Islamabad"],"affiliations":[{"raw_affiliation_string":"Mathematics Department, COMSATS University of Science and Technology, Park Road, Islamabad","institution_ids":["https://openalex.org/I16076960","https://openalex.org/I118692353","https://openalex.org/I4210132213"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111752781","display_name":"Eisa Al-Said","orcid":null},"institutions":[{"id":"https://openalex.org/I28022161","display_name":"King Saud University","ror":"https://ror.org/02f81g417","country_code":"SA","type":"education","lineage":["https://openalex.org/I28022161"]},{"id":"https://openalex.org/I16076960","display_name":"COMSATS University Islamabad","ror":"https://ror.org/00nqqvk19","country_code":"PK","type":"education","lineage":["https://openalex.org/I16076960"]}],"countries":["PK","SA"],"is_corresponding":false,"raw_author_name":"Eisa Al-Said","raw_affiliation_strings":["Mathematics Department, COMSATS University of Science and Technology, Park Road, Islamabad, Pakistan","Mathematics Department, College of Science, King Saud University, Riyadh 11451, Saudi Arabia","Mathematics Department, College of Science, King Saud University, Riyadh 11451"],"affiliations":[{"raw_affiliation_string":"Mathematics Department, COMSATS University of Science and Technology, Park Road, Islamabad, Pakistan","institution_ids":["https://openalex.org/I16076960"]},{"raw_affiliation_string":"Mathematics Department, College of Science, King Saud University, Riyadh 11451, Saudi Arabia","institution_ids":["https://openalex.org/I28022161"]},{"raw_affiliation_string":"Mathematics Department, College of Science, King Saud University, Riyadh 11451","institution_ids":["https://openalex.org/I28022161"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5087578803"],"corresponding_institution_ids":["https://openalex.org/I118692353","https://openalex.org/I16076960","https://openalex.org/I28022161","https://openalex.org/I4210132213"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.3231,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.61150737,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"2012","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.9993000030517578,"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":0.9993000030517578,"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":0.9988999962806702,"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/T11115","display_name":"Topology Optimization in Engineering","score":0.988099992275238,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/variational-inequality","display_name":"Variational inequality","score":0.8394526839256287},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7421834468841553},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6943463683128357},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6318956017494202},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.5717247724533081},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5646417140960693},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.5127621293067932},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32825684547424316},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2071458101272583},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.13168662786483765},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.03605470061302185}],"concepts":[{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.8394526839256287},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7421834468841553},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6943463683128357},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6318956017494202},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.5717247724533081},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5646417140960693},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.5127621293067932},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32825684547424316},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2071458101272583},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.13168662786483765},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.03605470061302185},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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":4,"locations":[{"id":"doi:10.1155/2012/125373","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/125373","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/125373.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1329337711","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jam/1329337711","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:125373","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2012/125373.xml","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"},{"id":"pmh:oai:doaj.org/article:26ca8b735deb4c74a76075b8cf0b4de7","is_oa":true,"landing_page_url":"https://doaj.org/article/26ca8b735deb4c74a76075b8cf0b4de7","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2012 (2012)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2012/125373","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/125373","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/125373.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.7300000190734863,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[{"id":"https://openalex.org/G6403431484","display_name":null,"funder_award_id":"KSU.VPP.108","funder_id":"https://openalex.org/F4320321145","funder_display_name":"King Saud University"},{"id":"https://openalex.org/G8239988234","display_name":null,"funder_award_id":"Riyadh","funder_id":"https://openalex.org/F4320321145","funder_display_name":"King Saud University"}],"funders":[{"id":"https://openalex.org/F4320311330","display_name":"COMSATS Institute of Information Technology","ror":"https://ror.org/00nqqvk19"},{"id":"https://openalex.org/F4320321145","display_name":"King Saud University","ror":"https://ror.org/02f81g417"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2062232191.pdf","grobid_xml":"https://content.openalex.org/works/W2062232191.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W639834748","https://openalex.org/W1594885679","https://openalex.org/W1602511700","https://openalex.org/W1972865876","https://openalex.org/W1973356945","https://openalex.org/W1994615839","https://openalex.org/W1995296023","https://openalex.org/W1998159664","https://openalex.org/W2004326643","https://openalex.org/W2010462593","https://openalex.org/W2027085210","https://openalex.org/W2032813735","https://openalex.org/W2041381723","https://openalex.org/W2047009880","https://openalex.org/W2048195374","https://openalex.org/W2050053998","https://openalex.org/W2053872290","https://openalex.org/W2073076760","https://openalex.org/W2073163826","https://openalex.org/W2080976532","https://openalex.org/W2104110771","https://openalex.org/W2143085880","https://openalex.org/W2185682023","https://openalex.org/W2946037075","https://openalex.org/W3172014579","https://openalex.org/W4302075379","https://openalex.org/W6681611378","https://openalex.org/W6686596596"],"related_works":["https://openalex.org/W2064140307","https://openalex.org/W829267240","https://openalex.org/W1154119719","https://openalex.org/W2909053289","https://openalex.org/W2104243281","https://openalex.org/W2063245973","https://openalex.org/W2946037075","https://openalex.org/W2059694173","https://openalex.org/W3131922696","https://openalex.org/W2363155086"],"abstract_inverted_index":{"We":[0],"use":[1],"the":[2,24,35,40],"auxiliary":[3],"principle":[4],"technique":[5],"to":[6,72],"suggest":[7],"and":[8,39,57,77,83],"analyze":[9],"some":[10],"iterative":[11,50],"methods":[12,51],"for":[13,74],"solving":[14],"a":[15],"new":[16,78],"class":[17],"of":[18,48,80],"variational":[19,27,32,37,42,81],"inequalities,":[20],"which":[21],"is":[22,52],"called":[23],"mixed":[25,30],"trifunction":[26,31,36],"inequality.":[28],"The":[29],"inequality":[33],"includes":[34],"inequalities":[38,43,82],"classical":[41],"as":[44],"special":[45,61],"cases.":[46],"Convergence":[47],"these":[49,75],"proved":[53,67],"under":[54],"very":[55],"mild":[56],"suitable":[58],"assumptions.":[59],"Several":[60],"cases":[62],"are":[63],"also":[64],"considered.":[65],"Results":[66],"in":[68],"this":[69],"paper":[70],"continue":[71],"hold":[73],"known":[76],"classes":[79],"its":[84],"variant":[85],"forms.":[86]},"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2016-06-24T00:00:00"}
