{"id":"https://openalex.org/W4417124523","doi":"https://doi.org/10.3390/axioms14120889","title":"Common Fixed Point Approximation for Asymptotically Nonexpansive Mapping in Hyperbolic Space with Application","display_name":"Common Fixed Point Approximation for Asymptotically Nonexpansive Mapping in Hyperbolic Space with Application","publication_year":2025,"publication_date":"2025-11-30","ids":{"openalex":"https://openalex.org/W4417124523","doi":"https://doi.org/10.3390/axioms14120889"},"language":"en","primary_location":{"id":"doi:10.3390/axioms14120889","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14120889","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/axioms14120889","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5116362215","display_name":"Tehreem Ishtiaq","orcid":"https://orcid.org/0009-0007-1595-2804"},"institutions":[{"id":"https://openalex.org/I6292670","display_name":"Fatima Jinnah Women University","ror":"https://ror.org/009026n40","country_code":"PK","type":"education","lineage":["https://openalex.org/I6292670"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"Tehreem Ishtiaq","raw_affiliation_strings":["Department of Mathematical Sciences, Fatima Jinnah Women University, Rawalpindi 46000, Pakistan"],"raw_orcid":"https://orcid.org/0009-0007-1595-2804","affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Fatima Jinnah Women University, Rawalpindi 46000, Pakistan","institution_ids":["https://openalex.org/I6292670"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007686245","display_name":"Afshan Batool","orcid":"https://orcid.org/0000-0002-4729-4785"},"institutions":[{"id":"https://openalex.org/I6292670","display_name":"Fatima Jinnah Women University","ror":"https://ror.org/009026n40","country_code":"PK","type":"education","lineage":["https://openalex.org/I6292670"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Afshan Batool","raw_affiliation_strings":["Department of Mathematical Sciences, Fatima Jinnah Women University, Rawalpindi 46000, Pakistan"],"raw_orcid":"https://orcid.org/0000-0002-4729-4785","affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Fatima Jinnah Women University, Rawalpindi 46000, Pakistan","institution_ids":["https://openalex.org/I6292670"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100758033","display_name":"Aftab Hussain","orcid":"https://orcid.org/0000-0002-7742-5993"},"institutions":[{"id":"https://openalex.org/I185163786","display_name":"King Abdulaziz University","ror":"https://ror.org/02ma4wv74","country_code":"SA","type":"education","lineage":["https://openalex.org/I185163786"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Aftab Hussain","raw_affiliation_strings":["Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0002-7742-5993","affiliations":[{"raw_affiliation_string":"Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia","institution_ids":["https://openalex.org/I185163786"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007351796","display_name":"Hamed Alsulami","orcid":"https://orcid.org/0000-0001-5188-2830"},"institutions":[{"id":"https://openalex.org/I185163786","display_name":"King Abdulaziz University","ror":"https://ror.org/02ma4wv74","country_code":"SA","type":"education","lineage":["https://openalex.org/I185163786"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Hamed Alsulami","raw_affiliation_strings":["Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0001-5188-2830","affiliations":[{"raw_affiliation_string":"Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia","institution_ids":["https://openalex.org/I185163786"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5116362215"],"corresponding_institution_ids":["https://openalex.org/I6292670"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.36489767,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"12","first_page":"889","last_page":"889"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.5329999923706055,"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":0.5329999923706055,"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":0.4214000105857849,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.017999999225139618,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/fixed-point","display_name":"Fixed point","score":0.7139000296592712},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6543999910354614},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.445499986410141},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4253999888896942},{"id":"https://openalex.org/keywords/iterative-and-incremental-development","display_name":"Iterative and incremental development","score":0.41589999198913574},{"id":"https://openalex.org/keywords/table","display_name":"Table (database)","score":0.40630000829696655}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.753600001335144},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.7139000296592712},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6543999910354614},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5317000150680542},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4672999978065491},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.445499986410141},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4253999888896942},{"id":"https://openalex.org/C143587482","wikidata":"https://www.wikidata.org/wiki/Q1543216","display_name":"Iterative and incremental development","level":2,"score":0.41589999198913574},{"id":"https://openalex.org/C45235069","wikidata":"https://www.wikidata.org/wiki/Q278425","display_name":"Table (database)","level":2,"score":0.40630000829696655},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.38929998874664307},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.3352999985218048},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.32089999318122864},{"id":"https://openalex.org/C111615704","wikidata":"https://www.wikidata.org/wiki/Q2627459","display_name":"Hyperbolic partial differential equation","level":3,"score":0.3199999928474426},{"id":"https://openalex.org/C157449380","wikidata":"https://www.wikidata.org/wiki/Q1030759","display_name":"Fixed-point iteration","level":3,"score":0.26899999380111694},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.26499998569488525}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms14120889","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14120889","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:8f91470cd31f4806ae95c60e3db82311","is_oa":true,"landing_page_url":"https://doaj.org/article/8f91470cd31f4806ae95c60e3db82311","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":"Axioms, Vol 14, Iss 12, p 889 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms14120889","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14120889","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":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1893170605","https://openalex.org/W1966975982","https://openalex.org/W1969117912","https://openalex.org/W2037667652","https://openalex.org/W2051706947","https://openalex.org/W2067902429","https://openalex.org/W2086254189","https://openalex.org/W2094953083","https://openalex.org/W2162137155","https://openalex.org/W2329949784","https://openalex.org/W4382987540","https://openalex.org/W4390018114","https://openalex.org/W4395018228","https://openalex.org/W4409542479"],"related_works":[],"abstract_inverted_index":{"This":[0],"study":[1],"presents":[2],"a":[3,15,31,38],"common":[4],"fixed-point":[5],"iteration":[6,40],"process":[7],"that":[8],"includes":[9],"two":[10],"asymptotically":[11],"nonexpansive":[12],"self-mappings":[13],"in":[14],"hyperbolic":[16],"space":[17],"and":[18,34],"their":[19],"delta":[20],"convergence.":[21],"To":[22],"support":[23],"our":[24],"results,":[25],"we":[26],"provide":[27],"an":[28],"example":[29],"with":[30],"comparison":[32],"table":[33],"sufficient":[35],"conditions":[36],"for":[37],"modified":[39],"scheme":[41],"to":[42,46],"have":[43],"strong":[44],"convergence":[45],"approximate":[47],"the":[48],"fixed":[49],"point.":[50]},"counts_by_year":[],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-12-08T00:00:00"}