{"id":"https://openalex.org/W3108904561","doi":"https://doi.org/10.1080/00207160.2020.1856823","title":"A new efficient algorithm for finding common fixed points of multivalued demicontractive mappings and solutions of split generalized equilibrium problems in Hilbert spaces","display_name":"A new efficient algorithm for finding common fixed points of multivalued demicontractive mappings and solutions of split generalized equilibrium problems in Hilbert spaces","publication_year":2020,"publication_date":"2020-11-27","ids":{"openalex":"https://openalex.org/W3108904561","doi":"https://doi.org/10.1080/00207160.2020.1856823","mag":"3108904561"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2020.1856823","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2020.1856823","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer 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/A5014789301","display_name":"Lateef Olakunle Jolaoso","orcid":"https://orcid.org/0000-0002-4838-7465"},"institutions":[{"id":"https://openalex.org/I148561064","display_name":"African Institute for Mathematical Sciences","ror":"https://ror.org/02f9k5d27","country_code":"ZA","type":"education","lineage":["https://openalex.org/I148561064"]},{"id":"https://openalex.org/I95023434","display_name":"University of KwaZulu-Natal","ror":"https://ror.org/04qzfn040","country_code":"ZA","type":"education","lineage":["https://openalex.org/I95023434"]}],"countries":["ZA"],"is_corresponding":false,"raw_author_name":"L. O. Jolaoso","raw_affiliation_strings":["DSI-NRF Center of Excellence in Mathematical and Statistical Sciences (CoE-MaSS), Johannesburg, South Africa","School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"DSI-NRF Center of Excellence in Mathematical and Statistical Sciences (CoE-MaSS), Johannesburg, South Africa","institution_ids":["https://openalex.org/I148561064"]},{"raw_affiliation_string":"School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa","institution_ids":["https://openalex.org/I95023434"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038294601","display_name":"Olawale Kazeem Oyewole","orcid":"https://orcid.org/0000-0002-4451-2126"},"institutions":[{"id":"https://openalex.org/I148561064","display_name":"African Institute for Mathematical Sciences","ror":"https://ror.org/02f9k5d27","country_code":"ZA","type":"education","lineage":["https://openalex.org/I148561064"]},{"id":"https://openalex.org/I95023434","display_name":"University of KwaZulu-Natal","ror":"https://ror.org/04qzfn040","country_code":"ZA","type":"education","lineage":["https://openalex.org/I95023434"]}],"countries":["ZA"],"is_corresponding":false,"raw_author_name":"O. K. Oyewole","raw_affiliation_strings":["DSI-NRF Center of Excellence in Mathematical and Statistical Sciences (CoE-MaSS), Johannesburg, South Africa","School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"DSI-NRF Center of Excellence in Mathematical and Statistical Sciences (CoE-MaSS), Johannesburg, South Africa","institution_ids":["https://openalex.org/I148561064"]},{"raw_affiliation_string":"School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa","institution_ids":["https://openalex.org/I95023434"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039043642","display_name":"Kazeem Olalekan Aremu","orcid":"https://orcid.org/0000-0002-5624-2768"},"institutions":[{"id":"https://openalex.org/I95023434","display_name":"University of KwaZulu-Natal","ror":"https://ror.org/04qzfn040","country_code":"ZA","type":"education","lineage":["https://openalex.org/I95023434"]}],"countries":["ZA"],"is_corresponding":false,"raw_author_name":"K. O. Aremu","raw_affiliation_strings":["School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa","institution_ids":["https://openalex.org/I95023434"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062323142","display_name":"Oluwatosin Temitope Mewomo","orcid":"https://orcid.org/0000-0003-0389-7469"},"institutions":[{"id":"https://openalex.org/I95023434","display_name":"University of KwaZulu-Natal","ror":"https://ror.org/04qzfn040","country_code":"ZA","type":"education","lineage":["https://openalex.org/I95023434"]}],"countries":["ZA"],"is_corresponding":true,"raw_author_name":"O. T. Mewomo","raw_affiliation_strings":["School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa","institution_ids":["https://openalex.org/I95023434"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5062323142"],"corresponding_institution_ids":["https://openalex.org/I95023434"],"apc_list":null,"apc_paid":null,"fwci":0.6498,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.76450032,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"98","issue":"9","first_page":"1892","last_page":"1919"},"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":0.9930999875068665,"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":0.9850999712944031,"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":0.8235033750534058},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.6850340962409973},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.604760468006134},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.5920261740684509},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.574226438999176},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.5299350619316101},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4997560977935791},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.46244412660598755},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4430623948574066},{"id":"https://openalex.org/keywords/line-search","display_name":"Line search","score":0.4386031925678253},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.43561428785324097},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18870210647583008},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14959385991096497}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8235033750534058},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.6850340962409973},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.604760468006134},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.5920261740684509},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.574226438999176},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.5299350619316101},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4997560977935791},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.46244412660598755},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4430623948574066},{"id":"https://openalex.org/C85522705","wikidata":"https://www.wikidata.org/wiki/Q3278015","display_name":"Line search","level":3,"score":0.4386031925678253},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.43561428785324097},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18870210647583008},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14959385991096497},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160.2020.1856823","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2020.1856823","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4600742945","display_name":null,"funder_award_id":"119903","funder_id":"https://openalex.org/F4320338132","funder_display_name":"DST-NRF Centre Of Excellence In Tree Health Biotechnology"}],"funders":[{"id":"https://openalex.org/F4320333169","display_name":"National Science Foundation, United Arab Emirates","ror":"https://ror.org/01xpa3123"},{"id":"https://openalex.org/F4320338132","display_name":"DST-NRF Centre Of Excellence In Tree Health Biotechnology","ror":"https://ror.org/02chqen44"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W154593720","https://openalex.org/W1154119719","https://openalex.org/W1964673160","https://openalex.org/W1974487438","https://openalex.org/W1987481104","https://openalex.org/W1988539966","https://openalex.org/W2018778989","https://openalex.org/W2049477584","https://openalex.org/W2054497632","https://openalex.org/W2060842854","https://openalex.org/W2069356606","https://openalex.org/W2089559088","https://openalex.org/W2091398038","https://openalex.org/W2100503136","https://openalex.org/W2116028201","https://openalex.org/W2119645780","https://openalex.org/W2129941846","https://openalex.org/W2134851358","https://openalex.org/W2143251212","https://openalex.org/W2150195104","https://openalex.org/W2155161834","https://openalex.org/W2159896760","https://openalex.org/W2335570918","https://openalex.org/W2513886869","https://openalex.org/W2530440928","https://openalex.org/W2576584344","https://openalex.org/W2755311402","https://openalex.org/W2791833051","https://openalex.org/W2794429263","https://openalex.org/W2892065345","https://openalex.org/W2901874551","https://openalex.org/W2932913597","https://openalex.org/W2937005841","https://openalex.org/W2947374711","https://openalex.org/W2963022965","https://openalex.org/W2964450710","https://openalex.org/W2977110226","https://openalex.org/W2990091802","https://openalex.org/W3002752647","https://openalex.org/W3005357615","https://openalex.org/W3020994601","https://openalex.org/W3025469946","https://openalex.org/W4388212639"],"related_works":["https://openalex.org/W2896790383","https://openalex.org/W2105211985","https://openalex.org/W1914401326","https://openalex.org/W2371658159","https://openalex.org/W2966573933","https://openalex.org/W2370573275","https://openalex.org/W4210891617","https://openalex.org/W2569245902","https://openalex.org/W1532103963","https://openalex.org/W1985079054"],"abstract_inverted_index":{"The":[0],"purpose":[1],"of":[2,15,24,91,95,125],"this":[3,41],"article":[4],"is":[5,69,99],"to":[6,101],"present":[7],"a":[8,45,73,80,131],"new":[9],"iterative":[10],"technique":[11],"for":[12,55,62],"approximating":[13],"solutions":[14],"split":[16],"generalized":[17],"equilibrium":[18],"problem":[19],"and":[20,107,122],"common":[21],"fixed":[22],"points":[23],"multivalued":[25],"demicontractive":[26],"mappings":[27],"satisfying":[28],"the":[29,37,57,63,83,92,105,126],"gate":[30],"conditions":[31],"in":[32,40,71,130],"real":[33],"Hilbert":[34],"spaces.":[35],"Unlike":[36],"earlier":[38],"results":[39,129],"direction,":[42],"we":[43],"obtain":[44],"strong":[46],"convergence":[47,93],"result":[48,119],"using":[49],"an":[50,89],"Armijo":[51],"line":[52],"search":[53],"rule":[54],"determining":[56],"best":[58],"appropriate":[59],"step":[60],"size":[61],"next":[64],"iteration.":[65],"Also,":[66],"our":[67,96],"algorithm":[68],"designed":[70],"such":[72],"way":[74],"that":[75],"it":[76],"does":[77],"not":[78],"require":[79],"projection":[81],"onto":[82],"feasible":[84],"set.":[85],"We":[86],"further":[87],"give":[88],"analysis":[90],"rate":[94],"method":[97],"which":[98],"shown":[100],"be":[102],"O(1/t).":[103],"Finally,":[104],"performances":[106],"comparisons":[108],"with":[109],"some":[110],"existing":[111,127],"methods":[112],"are":[113],"presented":[114],"through":[115],"numerical":[116],"experiments.":[117],"This":[118],"extends,":[120],"generalizes":[121],"improves":[123],"many":[124],"related":[128],"unified":[132],"way.":[133]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4}],"updated_date":"2026-08-29T07:29:34.045763","created_date":"2025-10-10T00:00:00"}
