{"id":"https://openalex.org/W2094355323","doi":"https://doi.org/10.1007/s10444-011-9249-5","title":"A block hybrid method for solving generalized equilibrium problems and convex feasibility problem","display_name":"A block hybrid method for solving generalized equilibrium problems and convex feasibility problem","publication_year":2011,"publication_date":"2011-11-30","ids":{"openalex":"https://openalex.org/W2094355323","doi":"https://doi.org/10.1007/s10444-011-9249-5","mag":"2094355323"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-011-9249-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-011-9249-5","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Computational Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102157579","display_name":"Shih-sen Chang","orcid":null},"institutions":[{"id":"https://openalex.org/I49185572","display_name":"Yunnan University of Finance And Economics","ror":"https://ror.org/04rhev598","country_code":"CN","type":"education","lineage":["https://openalex.org/I49185572"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shih-sen Chang","raw_affiliation_strings":["Department of Mathematics, Yunnan University of Finance and Economics, Kunming, Yunnan, 650221, China","Department of Mathematics, Yunnan University of Finance and Economics, Kunming, China 650221#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Yunnan University of Finance and Economics, Kunming, Yunnan, 650221, China","institution_ids":["https://openalex.org/I49185572"]},{"raw_affiliation_string":"Department of Mathematics, Yunnan University of Finance and Economics, Kunming, China 650221#TAB#","institution_ids":["https://openalex.org/I49185572"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069045993","display_name":"Joseph H. W. Lee","orcid":"https://orcid.org/0000-0002-4617-4271"},"institutions":[{"id":"https://openalex.org/I14243506","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98","country_code":"HK","type":"education","lineage":["https://openalex.org/I14243506"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"H. W. Joseph Lee","raw_affiliation_strings":["Department of Applied Mathematics, The Hong Kong Polytechnic University, Hongkong, Hongkong","Department of Applied Mathematics, The Hong Kong Polytechnic University, Hongkong, Hongkong#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, The Hong Kong Polytechnic University, Hongkong, Hongkong","institution_ids":["https://openalex.org/I14243506"]},{"raw_affiliation_string":"Department of Applied Mathematics, The Hong Kong Polytechnic University, Hongkong, Hongkong#TAB#","institution_ids":["https://openalex.org/I14243506"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045671268","display_name":"Chi Kin Chan","orcid":"https://orcid.org/0000-0001-5855-6472"},"institutions":[{"id":"https://openalex.org/I14243506","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98","country_code":"HK","type":"education","lineage":["https://openalex.org/I14243506"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Chi Kin Chan","raw_affiliation_strings":["Department of Applied Mathematics, The Hong Kong Polytechnic University, Hongkong, Hongkong","Department of Applied Mathematics, The Hong Kong Polytechnic University, Hongkong, Hongkong#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, The Hong Kong Polytechnic University, Hongkong, Hongkong","institution_ids":["https://openalex.org/I14243506"]},{"raw_affiliation_string":"Department of Applied Mathematics, The Hong Kong Polytechnic University, Hongkong, Hongkong#TAB#","institution_ids":["https://openalex.org/I14243506"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5102157579"],"corresponding_institution_ids":["https://openalex.org/I49185572"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.6264,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.83909148,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"38","issue":"3","first_page":"563","last_page":"580"},"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9930999875068665,"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"}},{"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":0.780890703201294},{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.7099249362945557},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.6628789305686951},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.6182419061660767},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6061123609542847},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.5150163173675537},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.5125824809074402},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5078399777412415},{"id":"https://openalex.org/keywords/projection-method","display_name":"Projection method","score":0.5017411708831787},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.49407389760017395},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.48905476927757263},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.4865371286869049},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.4565976560115814},{"id":"https://openalex.org/keywords/proper-convex-function","display_name":"Proper convex function","score":0.412739098072052},{"id":"https://openalex.org/keywords/dykstras-projection-algorithm","display_name":"Dykstra's projection algorithm","score":0.345363974571228},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.28457891941070557},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.21813133358955383},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.16019392013549805},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08406171202659607}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.780890703201294},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.7099249362945557},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.6628789305686951},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.6182419061660767},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6061123609542847},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.5150163173675537},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.5125824809074402},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5078399777412415},{"id":"https://openalex.org/C65557600","wikidata":"https://www.wikidata.org/wiki/Q7249451","display_name":"Projection method","level":3,"score":0.5017411708831787},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49407389760017395},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.48905476927757263},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.4865371286869049},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.4565976560115814},{"id":"https://openalex.org/C50862404","wikidata":"https://www.wikidata.org/wiki/Q3075259","display_name":"Proper convex function","level":5,"score":0.412739098072052},{"id":"https://openalex.org/C202426404","wikidata":"https://www.wikidata.org/wiki/Q5318686","display_name":"Dykstra's projection algorithm","level":2,"score":0.345363974571228},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.28457891941070557},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.21813133358955383},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.16019392013549805},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08406171202659607},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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":2,"locations":[{"id":"doi:10.1007/s10444-011-9249-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-011-9249-5","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Computational Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:ira.lib.polyu.edu.hk:10397/21472","is_oa":false,"landing_page_url":"http://hdl.handle.net/10397/21472","pdf_url":null,"source":{"id":"https://openalex.org/S4306400205","display_name":"PolyU Institutional Research Archive (Hong Kong Polytechnic University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I14243506","host_organization_name":"Hong Kong Polytechnic University","host_organization_lineage":["https://openalex.org/I14243506"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal/Magazine Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W154593720","https://openalex.org/W614467277","https://openalex.org/W1527404760","https://openalex.org/W1539408669","https://openalex.org/W1710475132","https://openalex.org/W1854489029","https://openalex.org/W1963778234","https://openalex.org/W1967676676","https://openalex.org/W1968162369","https://openalex.org/W1969798592","https://openalex.org/W1986863729","https://openalex.org/W2000461030","https://openalex.org/W2003937244","https://openalex.org/W2023619750","https://openalex.org/W2027871311","https://openalex.org/W2029945528","https://openalex.org/W2038085385","https://openalex.org/W2050182894","https://openalex.org/W2054732940","https://openalex.org/W2074892119","https://openalex.org/W2086803629","https://openalex.org/W2089558206","https://openalex.org/W2119759439","https://openalex.org/W2264114735","https://openalex.org/W2379129347","https://openalex.org/W2577436623","https://openalex.org/W4245503300"],"related_works":["https://openalex.org/W2026600343","https://openalex.org/W2999421545","https://openalex.org/W2388570749","https://openalex.org/W4239678022","https://openalex.org/W2130502871","https://openalex.org/W4248569606","https://openalex.org/W2350695164","https://openalex.org/W2370594013","https://openalex.org/W2365171912","https://openalex.org/W4387797336"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}