{"id":"https://openalex.org/W2912117577","doi":"https://doi.org/10.1155/2019/6875789","title":"An Iterative Method for Finding Common Solution of the Fixed Point Problem of a Finite Family of Nonexpansive Mappings and a Finite Family of Variational Inequality Problems in Hilbert Space","display_name":"An Iterative Method for Finding Common Solution of the Fixed Point Problem of a Finite Family of Nonexpansive Mappings and a Finite Family of Variational Inequality Problems in Hilbert Space","publication_year":2019,"publication_date":"2019-01-22","ids":{"openalex":"https://openalex.org/W2912117577","doi":"https://doi.org/10.1155/2019/6875789","mag":"2912117577"},"language":"en","primary_location":{"id":"doi:10.1155/2019/6875789","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2019/6875789","pdf_url":"https://downloads.hindawi.com/journals/jam/2019/6875789.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/2019/6875789.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5056569826","display_name":"Shamshad Husain","orcid":"https://orcid.org/0000-0003-3192-3679"},"institutions":[{"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"],"is_corresponding":true,"raw_author_name":"Shamshad Husain","raw_affiliation_strings":["Department of Applied Mathematics, Aligarh Muslim University, Aligarh 202002, India"],"raw_orcid":"https://orcid.org/0000-0003-3192-3679","affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Aligarh Muslim University, Aligarh 202002, India","institution_ids":["https://openalex.org/I171210897"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019189969","display_name":"Nisha Singh","orcid":null},"institutions":[{"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"],"is_corresponding":false,"raw_author_name":"Nisha Singh","raw_affiliation_strings":["Department of Applied Mathematics, Aligarh Muslim University, Aligarh 202002, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Aligarh Muslim University, Aligarh 202002, India","institution_ids":["https://openalex.org/I171210897"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5056569826"],"corresponding_institution_ids":["https://openalex.org/I171210897"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.2021,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.50848462,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"2019","issue":null,"first_page":"1","last_page":"11"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9891999959945679,"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":0.9857000112533569,"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/variational-inequality","display_name":"Variational inequality","score":0.8829506635665894},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.847847580909729},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.795434832572937},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.715726375579834},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6537620425224304},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.5452722311019897},{"id":"https://openalex.org/keywords/strongly-monotone","display_name":"Strongly monotone","score":0.48712158203125},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.4741230309009552},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4651995599269867},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.4617825150489807},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46130186319351196},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.44486504793167114},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4443780481815338},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3095460832118988},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.265067994594574},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1474759876728058},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.05683538317680359}],"concepts":[{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.8829506635665894},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.847847580909729},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.795434832572937},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.715726375579834},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6537620425224304},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.5452722311019897},{"id":"https://openalex.org/C12715386","wikidata":"https://www.wikidata.org/wiki/Q7624691","display_name":"Strongly monotone","level":3,"score":0.48712158203125},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.4741230309009552},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4651995599269867},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.4617825150489807},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46130186319351196},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.44486504793167114},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4443780481815338},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3095460832118988},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.265067994594574},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1474759876728058},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.05683538317680359},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1155/2019/6875789","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2019/6875789","pdf_url":"https://downloads.hindawi.com/journals/jam/2019/6875789.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/1551150323","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.jam/1551150323","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:6875789","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2019/6875789.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:ef421b80949b484d8be63601578063eb","is_oa":true,"landing_page_url":"https://doaj.org/article/ef421b80949b484d8be63601578063eb","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"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 2019 (2019)","raw_type":"article"},{"id":"pmh:oai:hindawi.com:10.1155/2019/6875789","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/6875789","pdf_url":null,"source":{"id":"https://openalex.org/S4306400340","display_name":"Hindawi Journal of Chemistry (Hindawi)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210126990","host_organization_name":"Hindawi (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210126990"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Research Article"}],"best_oa_location":{"id":"doi:10.1155/2019/6875789","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2019/6875789","pdf_url":"https://downloads.hindawi.com/journals/jam/2019/6875789.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":0.5199999809265137,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2912117577.pdf","grobid_xml":"https://content.openalex.org/works/W2912117577.grobid-xml"},"referenced_works_count":12,"referenced_works":["https://openalex.org/W93786226","https://openalex.org/W203505864","https://openalex.org/W1487976166","https://openalex.org/W1546168022","https://openalex.org/W1970853134","https://openalex.org/W1987422418","https://openalex.org/W2001504573","https://openalex.org/W2033943991","https://openalex.org/W2035973668","https://openalex.org/W2054497632","https://openalex.org/W2070694134","https://openalex.org/W2132677982"],"related_works":["https://openalex.org/W2094957806","https://openalex.org/W2085771669","https://openalex.org/W2053463107","https://openalex.org/W213820718","https://openalex.org/W3044731203","https://openalex.org/W2061511329","https://openalex.org/W2904899490","https://openalex.org/W2151259414","https://openalex.org/W2055132062","https://openalex.org/W2011881806"],"abstract_inverted_index":{"In":[0],"this":[1,75],"paper,":[2],"a":[3,11,59],"hybrid":[4],"iterative":[5],"algorithm":[6],"is":[7],"proposed":[8,55],"for":[9,37,57],"finding":[10],"common":[12,18,31,60],"element":[13,61],"of":[14,17,21,24,30,33,53,62],"the":[15,28,34,44,50,54,63,85],"set":[16,29],"fixed":[19],"points":[20],"finite":[22],"family":[23],"nonexpansive":[25],"mappings":[26],"and":[27,78,87],"solutions":[32],"variational":[35],"inequality":[36],"an":[38],"inverse":[39],"strongly":[40],"monotone":[41],"mapping":[42],"on":[43],"real":[45],"Hilbert":[46],"space.":[47],"We":[48],"establish":[49],"strong":[51],"convergence":[52],"method":[56],"approximating":[58],"above":[64],"defined":[65],"sets":[66],"under":[67],"some":[68,80],"suitable":[69],"conditions.":[70],"The":[71],"results":[72,83],"presented":[73],"in":[74,84],"paper":[76],"extend":[77],"improve":[79],"well-known":[81],"corresponding":[82],"earlier":[86],"recent":[88],"literature.":[89]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}