{"id":"https://openalex.org/W4410957252","doi":"https://doi.org/10.3390/axioms14060428","title":"On the Strong Convergence of Combined Generalized Equilibrium and Fixed Point Problems in a Banach Space","display_name":"On the Strong Convergence of Combined Generalized Equilibrium and Fixed Point Problems in a Banach Space","publication_year":2025,"publication_date":"2025-05-30","ids":{"openalex":"https://openalex.org/W4410957252","doi":"https://doi.org/10.3390/axioms14060428"},"language":"en","primary_location":{"id":"doi:10.3390/axioms14060428","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14060428","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.3390/axioms14060428","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002110465","display_name":"Ghada AlNemer","orcid":"https://orcid.org/0000-0002-2222-7973"},"institutions":[{"id":"https://openalex.org/I106778892","display_name":"Princess Nourah bint Abdulrahman University","ror":"https://ror.org/05b0cyh02","country_code":"SA","type":"education","lineage":["https://openalex.org/I106778892"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"Ghada AlNemer","raw_affiliation_strings":["Department of Mathematical Sciences, College of Sciences, Princess Nourah bint Abdulrahman University, Riyadh 11671, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, College of Sciences, Princess Nourah bint Abdulrahman University, Riyadh 11671, Saudi Arabia","institution_ids":["https://openalex.org/I106778892"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064049623","display_name":"Rehan Ali","orcid":"https://orcid.org/0000-0002-3221-3698"},"institutions":[{"id":"https://openalex.org/I76202665","display_name":"Central University of Kashmir","ror":"https://ror.org/03asvq815","country_code":"IN","type":"education","lineage":["https://openalex.org/I76202665"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Rehan Ali","raw_affiliation_strings":["Department of Mathematics, Central University of Kashmir Ganderbal, Jammu and Kashmir 191131, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Central University of Kashmir Ganderbal, Jammu and Kashmir 191131, India","institution_ids":["https://openalex.org/I76202665"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102013924","display_name":"Mohammad Farid","orcid":"https://orcid.org/0000-0002-9713-3509"},"institutions":[{"id":"https://openalex.org/I156216236","display_name":"Qassim University","ror":"https://ror.org/01wsfe280","country_code":"SA","type":"education","lineage":["https://openalex.org/I156216236"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Mohammad Farid","raw_affiliation_strings":["Department of Mathematics, College of Science, Qassim University, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Science, Qassim University, Saudi Arabia","institution_ids":["https://openalex.org/I156216236"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5002110465"],"corresponding_institution_ids":["https://openalex.org/I106778892"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":4.8769,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.95090461,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"14","issue":"6","first_page":"428","last_page":"428"},"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":0.9961000084877014,"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/T13855","display_name":"Aerospace Engineering and Control Systems","score":0.9944000244140625,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.713864266872406},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6596989631652832},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.598397433757782},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5397281646728516},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.41925525665283203},{"id":"https://openalex.org/keywords/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.41713422536849976},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3938644230365753},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3480552136898041},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3423604369163513},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.1573942005634308},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1434774100780487}],"concepts":[{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.713864266872406},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6596989631652832},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.598397433757782},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5397281646728516},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.41925525665283203},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.41713422536849976},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3938644230365753},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3480552136898041},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3423604369163513},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.1573942005634308},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1434774100780487},{"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms14060428","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14060428","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:ddc2111d6fa74ba2bd860669f5193b07","is_oa":true,"landing_page_url":"https://doaj.org/article/ddc2111d6fa74ba2bd860669f5193b07","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","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 14, Iss 6, p 428 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms14060428","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14060428","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5608015823","display_name":null,"funder_award_id":"PNURSP2025R45","funder_id":"https://openalex.org/F4320322484","funder_display_name":"Princess Nourah Bint Abdulrahman University"}],"funders":[{"id":"https://openalex.org/F4320322484","display_name":"Princess Nourah Bint Abdulrahman University","ror":"https://ror.org/05b0cyh02"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W154593720","https://openalex.org/W160566206","https://openalex.org/W602911405","https://openalex.org/W1458771408","https://openalex.org/W1519983590","https://openalex.org/W1527310132","https://openalex.org/W1539408669","https://openalex.org/W1767346216","https://openalex.org/W1854489029","https://openalex.org/W1969117912","https://openalex.org/W1998544309","https://openalex.org/W2005241777","https://openalex.org/W2006431173","https://openalex.org/W2008181411","https://openalex.org/W2012538600","https://openalex.org/W2029990009","https://openalex.org/W2032202472","https://openalex.org/W2039067431","https://openalex.org/W2050182894","https://openalex.org/W2055132062","https://openalex.org/W2066514174","https://openalex.org/W2067050450","https://openalex.org/W2067080690","https://openalex.org/W2098262013","https://openalex.org/W2100503136","https://openalex.org/W2104603126","https://openalex.org/W2106918785","https://openalex.org/W2144728750","https://openalex.org/W2614066816","https://openalex.org/W3033506402","https://openalex.org/W3216362765","https://openalex.org/W4249275599","https://openalex.org/W4389949985","https://openalex.org/W4400268930","https://openalex.org/W6606292158","https://openalex.org/W6606531350","https://openalex.org/W6631077220","https://openalex.org/W6637769607"],"related_works":["https://openalex.org/W2846516035","https://openalex.org/W4249977926","https://openalex.org/W2585118952","https://openalex.org/W2012141574","https://openalex.org/W1606221119","https://openalex.org/W2354765335","https://openalex.org/W3123504591","https://openalex.org/W2369544116","https://openalex.org/W2363849453","https://openalex.org/W1691643469"],"abstract_inverted_index":{"This":[0],"work":[1],"develops":[2],"and":[3,14,39,78],"analyzes":[4],"an":[5],"iterative":[6],"method":[7],"to":[8,31],"solve":[9],"the":[10,26,52,57,66,70],"combined":[11],"generalized":[12],"equilibrium":[13],"fixed":[15],"point":[16],"problems":[17],"involving":[18],"two":[19],"relatively":[20],"nonexpansive":[21],"mappings.":[22],"We":[23,45],"establish":[24],"that":[25],"generated":[27],"sequence":[28],"converges":[29],"strongly":[30],"a":[32,36,60],"shared":[33],"solution":[34],"within":[35],"two-uniformly":[37],"convex":[38],"uniformly":[40],"smooth":[41],"real":[42],"Banach":[43],"space.":[44],"also":[46],"highlight":[47],"some":[48],"immediate":[49],"consequences":[50],"of":[51,69],"main":[53],"result.":[54],"To":[55],"confirm":[56],"algorithm\u2019s":[58],"efficiency,":[59],"numerical":[61],"example":[62],"is":[63,73],"provided.":[64],"Furthermore,":[65],"practical":[67],"utility":[68],"proposed":[71],"algorithm":[72],"illustrated":[74],"using":[75],"comprehensive":[76],"tables":[77],"figures.":[79]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2}],"updated_date":"2026-02-27T16:54:17.756197","created_date":"2025-10-10T00:00:00"}