{"id":"https://openalex.org/W2135009453","doi":"https://doi.org/10.1155/2012/474031","title":"Convergence of Implicit and Explicit Schemes for an Asymptotically Nonexpansive Mapping in <i>q</i>\u2010Uniformly Smooth and Strictly Convex Banach Spaces","display_name":"Convergence of Implicit and Explicit Schemes for an Asymptotically Nonexpansive Mapping in <i>q</i>\u2010Uniformly Smooth and Strictly Convex Banach Spaces","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2135009453","doi":"https://doi.org/10.1155/2012/474031","mag":"2135009453"},"language":"en","primary_location":{"id":"doi:10.1155/2012/474031","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/474031","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/474031.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/2012/474031.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5006095759","display_name":"Meng Wen","orcid":"https://orcid.org/0000-0002-9911-3245"},"institutions":[{"id":"https://openalex.org/I4210165606","display_name":"Hubei Normal University","ror":"https://ror.org/056y3dw16","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210165606"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Meng Wen","raw_affiliation_strings":["Department of Mathematics, Hubei Normal University, Hubei, Huangshi 435002, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hubei Normal University, Hubei, Huangshi 435002, China","institution_ids":["https://openalex.org/I4210165606"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001088095","display_name":"Changsong Hu","orcid":null},"institutions":[{"id":"https://openalex.org/I4210165606","display_name":"Hubei Normal University","ror":"https://ror.org/056y3dw16","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210165606"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Changsong Hu","raw_affiliation_strings":["Department of Mathematics, Hubei Normal University, Hubei, Huangshi 435002, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hubei Normal University, Hubei, Huangshi 435002, China","institution_ids":["https://openalex.org/I4210165606"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091556039","display_name":"Zhiyu Wu","orcid":null},"institutions":[{"id":"https://openalex.org/I4210165606","display_name":"Hubei Normal University","ror":"https://ror.org/056y3dw16","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210165606"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhiyu Wu","raw_affiliation_strings":["Department of Mathematics, Hubei Normal University, Hubei, Huangshi 435002, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hubei Normal University, Hubei, Huangshi 435002, China","institution_ids":["https://openalex.org/I4210165606"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5006095759"],"corresponding_institution_ids":["https://openalex.org/I4210165606"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.16376445,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"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":0.9998000264167786,"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":0.9987999796867371,"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":0.9799000024795532,"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/banach-space","display_name":"Banach space","score":0.8414406776428223},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8336024284362793},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.7329716682434082},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.7016855478286743},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.6186303496360779},{"id":"https://openalex.org/keywords/uniformly-convex-space","display_name":"Uniformly convex space","score":0.5659353733062744},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5295157432556152},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4569426476955414},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3347168564796448},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32563281059265137},{"id":"https://openalex.org/keywords/eberlein\u2013\u0161mulian-theorem","display_name":"Eberlein\u2013\u0160mulian theorem","score":0.12373086810112},{"id":"https://openalex.org/keywords/lp-space","display_name":"Lp space","score":0.12013566493988037},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07380104064941406}],"concepts":[{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.8414406776428223},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8336024284362793},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.7329716682434082},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.7016855478286743},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.6186303496360779},{"id":"https://openalex.org/C123413131","wikidata":"https://www.wikidata.org/wiki/Q847535","display_name":"Uniformly convex space","level":5,"score":0.5659353733062744},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5295157432556152},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4569426476955414},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3347168564796448},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32563281059265137},{"id":"https://openalex.org/C184908153","wikidata":"https://www.wikidata.org/wiki/Q2226650","display_name":"Eberlein\u2013\u0160mulian theorem","level":4,"score":0.12373086810112},{"id":"https://openalex.org/C172294467","wikidata":"https://www.wikidata.org/wiki/Q305936","display_name":"Lp space","level":3,"score":0.12013566493988037},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07380104064941406},{"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":3,"locations":[{"id":"doi:10.1155/2012/474031","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/474031","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/474031.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/1357179976","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jam/1357179976","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:doaj.org/article:053c70bee18f42bda0485909c5e02500","is_oa":true,"landing_page_url":"https://doaj.org/article/053c70bee18f42bda0485909c5e02500","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:10.1155/2012/474031","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/474031","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/474031.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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2135009453.pdf","grobid_xml":"https://content.openalex.org/works/W2135009453.grobid-xml"},"referenced_works_count":12,"referenced_works":["https://openalex.org/W1036595780","https://openalex.org/W1458771408","https://openalex.org/W1573866030","https://openalex.org/W1969117912","https://openalex.org/W1969470482","https://openalex.org/W1976150918","https://openalex.org/W2031820100","https://openalex.org/W2053009427","https://openalex.org/W2067080690","https://openalex.org/W2116659777","https://openalex.org/W2134851358","https://openalex.org/W4246293990"],"related_works":["https://openalex.org/W3212473031","https://openalex.org/W2739258206","https://openalex.org/W2010057865","https://openalex.org/W2367641551","https://openalex.org/W2353689077","https://openalex.org/W2063036314","https://openalex.org/W2377132262","https://openalex.org/W3040162855","https://openalex.org/W2373113657","https://openalex.org/W2186997748"],"abstract_inverted_index":{"We":[0,23],"introduce":[1],"a":[2],"new":[3],"iterative":[4],"scheme":[5],"with":[6],"Meir\u2010Keeler":[7],"contractions":[8],"for":[9],"an":[10],"asymptotically":[11],"nonexpansive":[12],"mapping":[13],"in":[14,38],"q":[15],"\u2010uniformly":[16],"smooth":[17],"and":[18,32,42],"strictly":[19],"convex":[20],"Banach":[21],"spaces.":[22],"also":[24],"proved":[25],"the":[26],"strong":[27],"convergence":[28],"theorems":[29],"of":[30],"implicit":[31],"explicit":[33],"schemes.":[34],"The":[35],"results":[36],"obtained":[37],"this":[39],"paper":[40],"extend":[41],"improve":[43],"many":[44,49],"recent":[45],"ones":[46],"announced":[47],"by":[48],"others.":[50]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}