{"id":"https://openalex.org/W1977709580","doi":"https://doi.org/10.1155/2012/902437","title":"Approximation of Common Fixed Points of a Sequence of Nearly Nonexpansive Mappings and Solutions of Variational Inequality Problems","display_name":"Approximation of Common Fixed Points of a Sequence of Nearly Nonexpansive Mappings and Solutions of Variational Inequality Problems","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W1977709580","doi":"https://doi.org/10.1155/2012/902437","mag":"1977709580"},"language":"en","primary_location":{"id":"doi:10.1155/2012/902437","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/902437","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/902437.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/2012/902437.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5046954272","display_name":"D. R. Sahu","orcid":"https://orcid.org/0000-0003-0994-4529"},"institutions":[{"id":"https://openalex.org/I91357014","display_name":"Banaras Hindu University","ror":"https://ror.org/04cdn2797","country_code":"IN","type":"education","lineage":["https://openalex.org/I91357014"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"D. R. Sahu","raw_affiliation_strings":["Department of Mathematics, Banaras Hindu University, Varanasi 221005, India","Department of Mathematics, Banaras Hindu University, Varanasi 221005"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Banaras Hindu University, Varanasi 221005, India","institution_ids":["https://openalex.org/I91357014"]},{"raw_affiliation_string":"Department of Mathematics, Banaras Hindu University, Varanasi 221005","institution_ids":["https://openalex.org/I91357014"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024804033","display_name":"Shin Min Kang","orcid":"https://orcid.org/0000-0002-5294-4447"},"institutions":[{"id":"https://openalex.org/I189442560","display_name":"Gyeongsang National University","ror":"https://ror.org/00saywf64","country_code":"KR","type":"education","lineage":["https://openalex.org/I189442560"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Shin Min Kang","raw_affiliation_strings":["Department of Mathematics and RINS, Gyeongsang National University, Jinju 660-701, Republic of Korea","Department of Mathematics and RINS, Gyeongsang National University, Jinju 660-701"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and RINS, Gyeongsang National University, Jinju 660-701, Republic of Korea","institution_ids":["https://openalex.org/I189442560"]},{"raw_affiliation_string":"Department of Mathematics and RINS, Gyeongsang National University, Jinju 660-701","institution_ids":["https://openalex.org/I189442560"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110520487","display_name":"Vidya Sagar","orcid":"https://orcid.org/0000-0002-0166-0276"},"institutions":[{"id":"https://openalex.org/I91357014","display_name":"Banaras Hindu University","ror":"https://ror.org/04cdn2797","country_code":"IN","type":"education","lineage":["https://openalex.org/I91357014"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Vidya Sagar","raw_affiliation_strings":["Department of Mathematics, Banaras Hindu University, Varanasi 221005, India","Department of Mathematics, Banaras Hindu University, Varanasi 221005"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Banaras Hindu University, Varanasi 221005, India","institution_ids":["https://openalex.org/I91357014"]},{"raw_affiliation_string":"Department of Mathematics, Banaras Hindu University, Varanasi 221005","institution_ids":["https://openalex.org/I91357014"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5024804033"],"corresponding_institution_ids":["https://openalex.org/I189442560"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":2.4188,"has_fulltext":true,"cited_by_count":14,"citation_normalized_percentile":{"value":0.88365289,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"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/T10545","display_name":"Optimization and Variational Analysis","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/T10545","display_name":"Optimization and Variational Analysis","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/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9902999997138977,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9860000014305115,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.8263594508171082},{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.8148227334022522},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.796494722366333},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.7606565952301025},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.6988884806632996},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6630911827087402},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.6067567467689514},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5460370779037476},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.5135641098022461},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5005528926849365},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.44770270586013794},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.43704715371131897},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2711747884750366},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.25796055793762207},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.045916616916656494}],"concepts":[{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.8263594508171082},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.8148227334022522},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.796494722366333},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.7606565952301025},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.6988884806632996},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6630911827087402},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.6067567467689514},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5460370779037476},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5135641098022461},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5005528926849365},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.44770270586013794},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.43704715371131897},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2711747884750366},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.25796055793762207},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.045916616916656494},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"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/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2012/902437","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/902437","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/902437.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/1357180326","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jam/1357180326","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:902437","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2012/902437.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:9ed3a8423c844530be0a681e08fa601d","is_oa":true,"landing_page_url":"https://doaj.org/article/9ed3a8423c844530be0a681e08fa601d","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","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:10.1155/2012/902437","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/902437","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/902437.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":[{"display_name":"Reduced inequalities","score":0.6000000238418579,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1977709580.pdf","grobid_xml":"https://content.openalex.org/works/W1977709580.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W587075566","https://openalex.org/W1487976166","https://openalex.org/W1544072938","https://openalex.org/W1546168022","https://openalex.org/W1966295865","https://openalex.org/W1987665513","https://openalex.org/W1993470041","https://openalex.org/W1994064995","https://openalex.org/W2033943991","https://openalex.org/W2035378052","https://openalex.org/W2054497632","https://openalex.org/W2056478143","https://openalex.org/W2062409258","https://openalex.org/W2066490501","https://openalex.org/W2070694134","https://openalex.org/W2091524490","https://openalex.org/W2151561723","https://openalex.org/W2155308493","https://openalex.org/W2158934907"],"related_works":["https://openalex.org/W1991765628","https://openalex.org/W2055132062","https://openalex.org/W2330072811","https://openalex.org/W1987269275","https://openalex.org/W2053463107","https://openalex.org/W3164499765","https://openalex.org/W2381443067","https://openalex.org/W2121115887","https://openalex.org/W2058725647","https://openalex.org/W3143755272"],"abstract_inverted_index":{"We":[0,40],"introduce":[1],"an":[2],"explicit":[3],"iterative":[4,53],"scheme":[5,54],"for":[6,46],"computing":[7],"a":[8,13,21,26,33,36,42,47],"common":[9],"fixed":[10],"point":[11],"of":[12,15,25,35,71],"sequence":[14,48],"nearly":[16,72],"nonexpansive":[17,73],"mappings":[18],"defined":[19],"on":[20],"closed":[22],"convex":[23],"subset":[24],"real":[27],"Hilbert":[28],"space":[29],"which":[30],"is":[31],"also":[32],"solution":[34],"variational":[37],"inequality":[38],"problem.":[39],"prove":[41],"strong":[43,59],"convergence":[44,60],"theorem":[45,61],"generated":[49],"by":[50],"the":[51,69],"considered":[52],"under":[55],"suitable":[56],"conditions.":[57],"Our":[58],"extends":[62],"and":[63],"improves":[64],"several":[65],"corresponding":[66],"results":[67],"in":[68],"context":[70],"mappings.":[74]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":3}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}