{"id":"https://openalex.org/W2132610711","doi":"https://doi.org/10.1155/2011/106323","title":"A New Hybrid Algorithm for Solving a System of Generalized Mixed Equilibrium Problems, Solving a Family of Quasi\u2010<i>\u03d5</i>\u2010Asymptotically Nonexpansive Mappings, and Obtaining Common Fixed Points in Banach Space","display_name":"A New Hybrid Algorithm for Solving a System of Generalized Mixed Equilibrium Problems, Solving a Family of Quasi\u2010<i>\u03d5</i>\u2010Asymptotically Nonexpansive Mappings, and Obtaining Common Fixed Points in Banach Space","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W2132610711","doi":"https://doi.org/10.1155/2011/106323","mag":"2132610711"},"language":"en","primary_location":{"id":"doi:10.1155/2011/106323","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2011/106323","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2011/106323.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"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":"International Journal of Mathematics and Mathematical Sciences","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/ijmms/2011/106323.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5081615578","display_name":"J. F. Tan","orcid":null},"institutions":[{"id":"https://openalex.org/I4210131342","display_name":"Yibin University","ror":"https://ror.org/03w8m2977","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210131342"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"J. F. Tan","raw_affiliation_strings":["Department of Mathematics, Yibin University, Yibin, Sichuan 644007, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Yibin University, Yibin, Sichuan 644007, China","institution_ids":["https://openalex.org/I4210131342"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112250496","display_name":"S.S. Chang","orcid":null},"institutions":[{"id":"https://openalex.org/I4210131342","display_name":"Yibin University","ror":"https://ror.org/03w8m2977","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210131342"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"S. S. Chang","raw_affiliation_strings":["Department of Mathematics, Yibin University, Yibin, Sichuan 644007, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Yibin University, Yibin, Sichuan 644007, China","institution_ids":["https://openalex.org/I4210131342"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5081615578","https://openalex.org/A5112250496"],"corresponding_institution_ids":["https://openalex.org/I4210131342"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.3191,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.62685891,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"2011","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":0.9997000098228455,"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":0.9997000098228455,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9767000079154968,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9697999954223633,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9009677171707153},{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.7741827964782715},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.6666807532310486},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.6217402815818787},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5153772234916687},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.5034732222557068},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.4761086404323578},{"id":"https://openalex.org/keywords/uniformly-convex-space","display_name":"Uniformly convex space","score":0.446328341960907},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4432946741580963},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4396747648715973},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4349576532840729},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3602531850337982},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.29389169812202454},{"id":"https://openalex.org/keywords/eberlein\u2013\u0161mulian-theorem","display_name":"Eberlein\u2013\u0160mulian theorem","score":0.11392605304718018},{"id":"https://openalex.org/keywords/lp-space","display_name":"Lp space","score":0.09523969888687134},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06791913509368896},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.05450215935707092}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9009677171707153},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.7741827964782715},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.6666807532310486},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.6217402815818787},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5153772234916687},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.5034732222557068},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.4761086404323578},{"id":"https://openalex.org/C123413131","wikidata":"https://www.wikidata.org/wiki/Q847535","display_name":"Uniformly convex space","level":5,"score":0.446328341960907},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4432946741580963},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4396747648715973},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4349576532840729},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3602531850337982},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.29389169812202454},{"id":"https://openalex.org/C184908153","wikidata":"https://www.wikidata.org/wiki/Q2226650","display_name":"Eberlein\u2013\u0160mulian theorem","level":4,"score":0.11392605304718018},{"id":"https://openalex.org/C172294467","wikidata":"https://www.wikidata.org/wiki/Q305936","display_name":"Lp space","level":3,"score":0.09523969888687134},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06791913509368896},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.05450215935707092},{"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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1155/2011/106323","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2011/106323","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2011/106323.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"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":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:53ba25b16d09464fa7ae7f99c288a1cb","is_oa":true,"landing_page_url":"https://doaj.org/article/53ba25b16d09464fa7ae7f99c288a1cb","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":"International Journal of Mathematics and Mathematical Sciences, Vol 2011 (2011)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2011/106323","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2011/106323","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2011/106323.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"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":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2132610711.pdf","grobid_xml":"https://content.openalex.org/works/W2132610711.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W154593720","https://openalex.org/W1539408669","https://openalex.org/W1854489029","https://openalex.org/W1967676676","https://openalex.org/W2018714517","https://openalex.org/W2023619750","https://openalex.org/W2027871311","https://openalex.org/W2029945528","https://openalex.org/W2039067431","https://openalex.org/W2039698863","https://openalex.org/W2050182894","https://openalex.org/W2067080690","https://openalex.org/W2084752952","https://openalex.org/W2086803629","https://openalex.org/W2091398038","https://openalex.org/W2163541467","https://openalex.org/W2356071203","https://openalex.org/W4230659860","https://openalex.org/W4285719527"],"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/W2000423227","https://openalex.org/W2373113657"],"abstract_inverted_index":{"The":[0,67],"main":[1],"purpose":[2],"of":[3,19,21,26,32,36,39,48,51],"this":[4],"paper":[5,72],"is":[6],"to":[7],"introduce":[8],"a":[9,16,24,37,58],"new":[10],"hybrid":[11],"iterative":[12],"scheme":[13],"for":[14,23],"finding":[15],"common":[17,33],"element":[18],"set":[20,31],"solutions":[22],"system":[25],"generalized":[27],"mixed":[28],"equilibrium":[29],"problems,":[30],"fixed":[34],"points":[35],"family":[38,50],"quasi\u2010":[40],"\u03d5":[41],"\u2010asymptotically":[42],"nonexpansive":[43],"mappings,":[44],"and":[45,61,74],"null":[46],"spaces":[47],"finite":[49],"\u03b3":[52],"\u2010inverse":[53],"strongly":[54],"monotone":[55],"mappings":[56],"in":[57,70],"2\u2010uniformly":[59],"convex":[60],"uniformly":[62],"smooth":[63],"real":[64],"Banach":[65],"space.":[66],"results":[68,78],"presented":[69],"the":[71,76],"improve":[73],"extend":[75],"corresponding":[77],"announced":[79],"by":[80],"some":[81],"authors.":[82]},"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}