{"id":"https://openalex.org/W2015895665","doi":"https://doi.org/10.1155/2012/416476","title":"Convergence Theorems for Equilibrium Problems and Fixed\u2010Point Problems of an Infinite Family of <i>k</i><sub><i>i</i></sub>\u2010Strictly Pseudocontractive Mapping in Hilbert Spaces","display_name":"Convergence Theorems for Equilibrium Problems and Fixed\u2010Point Problems of an Infinite Family of <i>k</i><sub><i>i</i></sub>\u2010Strictly Pseudocontractive Mapping in Hilbert Spaces","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2015895665","doi":"https://doi.org/10.1155/2012/416476","mag":"2015895665"},"language":"en","primary_location":{"id":"doi:10.1155/2012/416476","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/416476","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/416476.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/2012/416476.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5024748893","display_name":"Haitao Che","orcid":"https://orcid.org/0000-0002-4632-0603"},"institutions":[{"id":"https://openalex.org/I202126657","display_name":"Qufu Normal University","ror":"https://ror.org/03ceheh96","country_code":"CN","type":"education","lineage":["https://openalex.org/I202126657"]},{"id":"https://openalex.org/I66883779","display_name":"Weifang University","ror":"https://ror.org/01frp7483","country_code":"CN","type":"education","lineage":["https://openalex.org/I66883779"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Haitao Che","raw_affiliation_strings":["School of Management Science, Qufu Normal University, Shandong Rizhao 276800, China","School of Mathematics and Information Science, Weifang University, Shandong Weifang 261061, China"],"affiliations":[{"raw_affiliation_string":"School of Management Science, Qufu Normal University, Shandong Rizhao 276800, China","institution_ids":["https://openalex.org/I202126657"]},{"raw_affiliation_string":"School of Mathematics and Information Science, Weifang University, Shandong Weifang 261061, China","institution_ids":["https://openalex.org/I66883779"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101654358","display_name":"Meixia Li","orcid":"https://orcid.org/0000-0003-0737-1915"},"institutions":[{"id":"https://openalex.org/I66883779","display_name":"Weifang University","ror":"https://ror.org/01frp7483","country_code":"CN","type":"education","lineage":["https://openalex.org/I66883779"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Meixia Li","raw_affiliation_strings":["School of Mathematics and Information Science, Weifang University, Shandong Weifang 261061, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Information Science, Weifang University, Shandong Weifang 261061, China","institution_ids":["https://openalex.org/I66883779"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084428311","display_name":"Xintian Pan","orcid":null},"institutions":[{"id":"https://openalex.org/I66883779","display_name":"Weifang University","ror":"https://ror.org/01frp7483","country_code":"CN","type":"education","lineage":["https://openalex.org/I66883779"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xintian Pan","raw_affiliation_strings":["School of Mathematics and Information Science, Weifang University, Shandong Weifang 261061, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Information Science, Weifang University, Shandong Weifang 261061, China","institution_ids":["https://openalex.org/I66883779"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5024748893"],"corresponding_institution_ids":["https://openalex.org/I202126657","https://openalex.org/I66883779"],"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":1,"citation_normalized_percentile":{"value":0.09692297,"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/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":0.9952999949455261,"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":0.9821000099182129,"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/convergence","display_name":"Convergence (economics)","score":0.634891152381897},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5359801650047302},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48820167779922485},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4774392247200012},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.46151942014694214},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.4132680892944336},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3947228491306305},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3498111963272095},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3459612727165222},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1794058382511139}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.634891152381897},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5359801650047302},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48820167779922485},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4774392247200012},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.46151942014694214},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.4132680892944336},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3947228491306305},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3498111963272095},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3459612727165222},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1794058382511139},{"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/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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2012/416476","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/416476","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/416476.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/1355495228","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jam/1355495228","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:31305d1b54fb47f68c233d0ce891e5fb","is_oa":true,"landing_page_url":"https://doaj.org/article/31305d1b54fb47f68c233d0ce891e5fb","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:10.1155/2012/416476","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/416476","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/416476.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/G1121271761","display_name":null,"funder_award_id":"Program","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1604499764","display_name":null,"funder_award_id":"090109","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2359838052","display_name":null,"funder_award_id":"11171180","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G2696157397","display_name":null,"funder_award_id":"ZR201","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G364944359","display_name":null,"funder_award_id":"ZR2009AL019","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G391238517","display_name":null,"funder_award_id":", and","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G436276318","display_name":null,"funder_award_id":"J09LA53","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5410887993","display_name":null,"funder_award_id":"11171180","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G581317120","display_name":null,"funder_award_id":"11171193","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G5939423041","display_name":null,"funder_award_id":"Technology","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6195672269","display_name":null,"funder_award_id":"10901096","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6490254487","display_name":null,"funder_award_id":"11126233","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6624689398","display_name":null,"funder_award_id":"ZR2011AM016","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G7033253288","display_name":null,"funder_award_id":"Grants","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7349512832","display_name":null,"funder_award_id":"11171193","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8305705803","display_name":null,"funder_award_id":"ZR2011AM016","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320324174","display_name":"Natural Science Foundation of Shandong Province","ror":null},{"id":"https://openalex.org/F4320329039","display_name":"Project of Shandong Province Higher Educational Science and Technology Program","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2015895665.pdf","grobid_xml":"https://content.openalex.org/works/W2015895665.grobid-xml"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W154593720","https://openalex.org/W1487976166","https://openalex.org/W1586096349","https://openalex.org/W1963829022","https://openalex.org/W1987584953","https://openalex.org/W1988012330","https://openalex.org/W1994064995","https://openalex.org/W1995133706","https://openalex.org/W2003040742","https://openalex.org/W2006464304","https://openalex.org/W2024753151","https://openalex.org/W2031486100","https://openalex.org/W2031820100","https://openalex.org/W2033943991","https://openalex.org/W2035378052","https://openalex.org/W2035973668","https://openalex.org/W2040397883","https://openalex.org/W2042314419","https://openalex.org/W2054497632","https://openalex.org/W2056838549","https://openalex.org/W2094914417","https://openalex.org/W2097212516","https://openalex.org/W2126101623","https://openalex.org/W2156228684","https://openalex.org/W2157674622","https://openalex.org/W2220044512","https://openalex.org/W2266418310","https://openalex.org/W2278371537","https://openalex.org/W4231777091","https://openalex.org/W4285719527","https://openalex.org/W6692973537"],"related_works":["https://openalex.org/W172022518","https://openalex.org/W1984854975","https://openalex.org/W1517908938","https://openalex.org/W4293114312","https://openalex.org/W124145845","https://openalex.org/W2093947781","https://openalex.org/W4323058680","https://openalex.org/W2391553691","https://openalex.org/W2531545003","https://openalex.org/W3103135560"],"abstract_inverted_index":{"We":[0],"first":[1],"extend":[2,73],"the":[3,30,40,49,76,91,94],"definition":[4],"of":[5,12,19,39,42,44,51,54,58,93],"W":[6],"n":[7],"from":[8],"an":[9,16,26,45,55],"infinite":[10,17,56],"family":[11,18,57],"nonexpansive":[13],"mappings":[14,63],"to":[15,89],"strictly":[20],"pseudocontractive":[21,62],"mappings,":[22],"and":[23,48,74],"then":[24],"propose":[25],"iterative":[27],"scheme":[28],"by":[29,80],"viscosity":[31],"approximation":[32],"method":[33],"for":[34],"finding":[35],"a":[36,84],"common":[37],"element":[38],"set":[41,50],"solutions":[43],"equilibrium":[46],"problem":[47],"fixed":[52],"points":[53],"k":[59],"i":[60],"\u2010strictly":[61],"in":[64,70],"Hilbert":[65],"spaces.":[66],"The":[67],"results":[68],"obtained":[69],"this":[71],"paper":[72],"improve":[75],"recent":[77],"ones":[78],"announced":[79],"many":[81],"others.":[82],"Furthermore,":[83],"numerical":[85],"example":[86],"is":[87],"presented":[88],"illustrate":[90],"effectiveness":[92],"proposed":[95],"scheme.":[96]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-04-13T07:58:08.660418","created_date":"2016-06-24T00:00:00"}
