{"id":"https://openalex.org/W2159592809","doi":"https://doi.org/10.1155/2012/281383","title":"On Unification of the Strong Convergence Theorems for a Finite Family of Total Asymptotically Nonexpansive Mappings in Banach Spaces","display_name":"On Unification of the Strong Convergence Theorems for a Finite Family of Total Asymptotically Nonexpansive Mappings in Banach Spaces","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2159592809","doi":"https://doi.org/10.1155/2012/281383","mag":"2159592809"},"language":"en","primary_location":{"id":"doi:10.1155/2012/281383","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/281383","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/281383.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/2012/281383.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5023300759","display_name":"Farrukh Mukhamedov","orcid":"https://orcid.org/0000-0001-5728-6394"},"institutions":[{"id":"https://openalex.org/I4164984","display_name":"International Islamic University Malaysia","ror":"https://ror.org/03s9hs139","country_code":"MY","type":"education","lineage":["https://openalex.org/I4164984"]}],"countries":["MY"],"is_corresponding":true,"raw_author_name":"Farrukh Mukhamedov","raw_affiliation_strings":["Department of Computational & Theoretical Sciences, Faculty of Sciences, International Islamic University Malaysia, P.O. Box 141, 25710, Kuantan, Malaysia","Department of Computational & Theoretical Sciences, Faculty of Sciences, International Islamic University Malaysia, P.O. Box 141, 25710, Kuantan"],"affiliations":[{"raw_affiliation_string":"Department of Computational & Theoretical Sciences, Faculty of Sciences, International Islamic University Malaysia, P.O. Box 141, 25710, Kuantan, Malaysia","institution_ids":["https://openalex.org/I4164984"]},{"raw_affiliation_string":"Department of Computational & Theoretical Sciences, Faculty of Sciences, International Islamic University Malaysia, P.O. Box 141, 25710, Kuantan","institution_ids":["https://openalex.org/I4164984"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034398386","display_name":"Mansoor Saburov","orcid":"https://orcid.org/0000-0003-2785-5204"},"institutions":[{"id":"https://openalex.org/I4164984","display_name":"International Islamic University Malaysia","ror":"https://ror.org/03s9hs139","country_code":"MY","type":"education","lineage":["https://openalex.org/I4164984"]}],"countries":["MY"],"is_corresponding":false,"raw_author_name":"Mansoor Saburov","raw_affiliation_strings":["Department of Computational & Theoretical Sciences, Faculty of Sciences, International Islamic University Malaysia, P.O. Box 141, 25710, Kuantan, Malaysia","Department of Computational & Theoretical Sciences, Faculty of Sciences, International Islamic University Malaysia, P.O. Box 141, 25710, Kuantan"],"affiliations":[{"raw_affiliation_string":"Department of Computational & Theoretical Sciences, Faculty of Sciences, International Islamic University Malaysia, P.O. Box 141, 25710, Kuantan, Malaysia","institution_ids":["https://openalex.org/I4164984"]},{"raw_affiliation_string":"Department of Computational & Theoretical Sciences, Faculty of Sciences, International Islamic University Malaysia, P.O. Box 141, 25710, Kuantan","institution_ids":["https://openalex.org/I4164984"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5023300759"],"corresponding_institution_ids":["https://openalex.org/I4164984"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.337,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.64244942,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"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/T10545","display_name":"Optimization and Variational Analysis","score":1.0,"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":1.0,"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":0.9962999820709229,"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":0.9912999868392944,"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/mathematics","display_name":"Mathematics","score":0.8553848266601562},{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.8046796321868896},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.6797857880592346},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.6755869388580322},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5929271578788757},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.49405887722969055},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.4566021263599396},{"id":"https://openalex.org/keywords/iterative-and-incremental-development","display_name":"Iterative and incremental development","score":0.4332626461982727},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4284765124320984},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3811410665512085},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.28762710094451904},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07563403248786926},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.05108317732810974}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8553848266601562},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.8046796321868896},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.6797857880592346},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.6755869388580322},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5929271578788757},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.49405887722969055},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.4566021263599396},{"id":"https://openalex.org/C143587482","wikidata":"https://www.wikidata.org/wiki/Q1543216","display_name":"Iterative and incremental development","level":2,"score":0.4332626461982727},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4284765124320984},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3811410665512085},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.28762710094451904},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07563403248786926},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.05108317732810974},{"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},{"id":"https://openalex.org/C115903868","wikidata":"https://www.wikidata.org/wiki/Q80993","display_name":"Software engineering","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2012/281383","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/281383","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/281383.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/1357180300","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jam/1357180300","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:9f196793037c4a2c95bf0dae7de92001","is_oa":true,"landing_page_url":"https://doaj.org/article/9f196793037c4a2c95bf0dae7de92001","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:10.1155/2012/281383","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/281383","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/281383.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":[{"id":"https://openalex.org/G8977096791","display_name":null,"funder_award_id":"01-01-08-SF0079","funder_id":"https://openalex.org/F4320320894","funder_display_name":"Abdus Salam International Centre for Theoretical Physics"}],"funders":[{"id":"https://openalex.org/F4320320894","display_name":"Abdus Salam International Centre for Theoretical Physics","ror":"https://ror.org/009gyvm78"},{"id":"https://openalex.org/F4320321992","display_name":"Minist\u00e9rio da Ci\u00eancia, Tecnologia e Inova\u00e7\u00e3o","ror":"https://ror.org/050zdnc69"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2159592809.pdf","grobid_xml":"https://content.openalex.org/works/W2159592809.grobid-xml"},"referenced_works_count":41,"referenced_works":["https://openalex.org/W70070802","https://openalex.org/W215829883","https://openalex.org/W302140456","https://openalex.org/W325133307","https://openalex.org/W330805189","https://openalex.org/W610522045","https://openalex.org/W1487976166","https://openalex.org/W1532797410","https://openalex.org/W1544072938","https://openalex.org/W1830071224","https://openalex.org/W1969117912","https://openalex.org/W1971603573","https://openalex.org/W1974395220","https://openalex.org/W1975398095","https://openalex.org/W1977052446","https://openalex.org/W1977111935","https://openalex.org/W1978423597","https://openalex.org/W1980644218","https://openalex.org/W1980759219","https://openalex.org/W1985791263","https://openalex.org/W1987674410","https://openalex.org/W1989826974","https://openalex.org/W1998554359","https://openalex.org/W2004404921","https://openalex.org/W2006431173","https://openalex.org/W2017051290","https://openalex.org/W2032202472","https://openalex.org/W2034291295","https://openalex.org/W2038209121","https://openalex.org/W2051706947","https://openalex.org/W2063036314","https://openalex.org/W2067100748","https://openalex.org/W2076004395","https://openalex.org/W2084103976","https://openalex.org/W2086254189","https://openalex.org/W2087759798","https://openalex.org/W2183676805","https://openalex.org/W2351881301","https://openalex.org/W2463763483","https://openalex.org/W4235485079","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2363849453","https://openalex.org/W2361703941","https://openalex.org/W2367641551","https://openalex.org/W2010057865","https://openalex.org/W3040162855","https://openalex.org/W2481151534","https://openalex.org/W2363028408","https://openalex.org/W2392736212","https://openalex.org/W2353689077","https://openalex.org/W2128240742"],"abstract_inverted_index":{"We":[0,50,75],"unify":[1,120],"all":[2,121],"known":[3,71,122],"iterative":[4,11,83],"methods":[5],"by":[6,41],"introducing":[7],"a":[8,31,34,86,106],"new":[9],"explicit":[10],"scheme":[12,32],"for":[13,81],"approximation":[14],"of":[15,19,22,37,53,68,90,94,110],"common":[16,87],"fixed":[17,88],"points":[18],"finite":[20,92],"families":[21],"total":[23,54,95,100],"asymptotically":[24,55,61,96,101],"I":[25,97],"\u2010nonexpansive":[26,98],"mappings.":[27],"Note":[28,63],"that":[29,64],"such":[30,66,82],"contains":[33],"particular":[35],"case":[36],"the":[38,73,77,91],"method":[39],"introduced":[40],"(C.":[42],"E.":[43,46],"Chidume":[44],"and":[45,99,119],"U.":[47],"Ofoedu,":[48],"2009).":[49],"construct":[51],"examples":[52,69],"nonexpansive":[56,102],"mappings":[57],"which":[58],"are":[59],"not":[60],"nonexpansive.":[62],"no":[65],"kind":[67],"were":[70],"in":[72],"literature.":[74],"prove":[76],"strong":[78],"convergence":[79],"theorems":[80],"process":[84],"to":[85],"point":[89],"family":[93],"mappings,":[103],"defined":[104],"on":[105],"nonempty":[107],"closed\u2010convex":[108],"subset":[109],"uniformly":[111],"convex":[112],"Banach":[113],"spaces.":[114],"Moreover,":[115],"our":[116],"results":[117],"extend":[118],"results.":[123]},"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
