{"id":"https://openalex.org/W4385220436","doi":"https://doi.org/10.3390/axioms12070715","title":"Stability Results and Reckoning Fixed Point Approaches by a Faster Iterative Method with an Application","display_name":"Stability Results and Reckoning Fixed Point Approaches by a Faster Iterative Method with an Application","publication_year":2023,"publication_date":"2023-07-23","ids":{"openalex":"https://openalex.org/W4385220436","doi":"https://doi.org/10.3390/axioms12070715"},"language":"en","primary_location":{"id":"doi:10.3390/axioms12070715","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12070715","pdf_url":"https://www.mdpi.com/2075-1680/12/7/715/pdf?version=1690368703","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://www.mdpi.com/2075-1680/12/7/715/pdf?version=1690368703","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045162488","display_name":"Hasanen A. Hammad","orcid":"https://orcid.org/0000-0001-8724-9367"},"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"]},{"id":"https://openalex.org/I97455420","display_name":"Sohag University","ror":"https://ror.org/02wgx3e98","country_code":"EG","type":"education","lineage":["https://openalex.org/I97455420"]}],"countries":["EG","SA"],"is_corresponding":true,"raw_author_name":"Hasanen A. Hammad","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt","Department of Mathematics, Unaizah College of Sciences and Arts, Qassim University, Buraydah 52571, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0001-8724-9367","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt","institution_ids":["https://openalex.org/I97455420"]},{"raw_affiliation_string":"Department of Mathematics, Unaizah College of Sciences and Arts, Qassim University, Buraydah 52571, Saudi Arabia","institution_ids":["https://openalex.org/I156216236"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086078533","display_name":"Doha A. Kattan","orcid":"https://orcid.org/0000-0002-1213-5549"},"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":"Doha A. Kattan","raw_affiliation_strings":["Department of Mathematics, College of Sciences and Art, King Abdulaziz University, Rabigh 25712, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0002-1213-5549","affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Sciences and Art, King Abdulaziz University, Rabigh 25712, Saudi Arabia","institution_ids":["https://openalex.org/I185163786"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5045162488"],"corresponding_institution_ids":["https://openalex.org/I156216236","https://openalex.org/I97455420"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.1853,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.53495805,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"12","issue":"7","first_page":"715","last_page":"715"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9994000196456909,"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":0.9994000196456909,"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":0.9972000122070312,"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":0.9649999737739563,"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/banach-space","display_name":"Banach space","score":0.8222783803939819},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.7017595767974854},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6931373476982117},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.6422057151794434},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.6394335627555847},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5844173431396484},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.5386614203453064},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5136951208114624},{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.5036086440086365},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.48788928985595703},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.47389355301856995},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.42179766297340393},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.40524256229400635},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3717750012874603},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2292112112045288},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07380464673042297}],"concepts":[{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.8222783803939819},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.7017595767974854},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6931373476982117},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.6422057151794434},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.6394335627555847},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5844173431396484},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.5386614203453064},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5136951208114624},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.5036086440086365},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.48788928985595703},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.47389355301856995},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.42179766297340393},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.40524256229400635},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3717750012874603},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2292112112045288},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07380464673042297},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/axioms12070715","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12070715","pdf_url":"https://www.mdpi.com/2075-1680/12/7/715/pdf?version=1690368703","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:7852e0b890284507a43dcb8b3d6c4c79","is_oa":true,"landing_page_url":"https://doaj.org/article/7852e0b890284507a43dcb8b3d6c4c79","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 12, Iss 7, p 715 (2023)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2075-1680/12/7/715/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/axioms12070715","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms; Volume 12; Issue 7; Pages: 715","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/axioms12070715","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12070715","pdf_url":"https://www.mdpi.com/2075-1680/12/7/715/pdf?version=1690368703","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":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.7200000286102295}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4385220436.pdf","grobid_xml":"https://content.openalex.org/works/W4385220436.grobid-xml"},"referenced_works_count":44,"referenced_works":["https://openalex.org/W1519983590","https://openalex.org/W1543439990","https://openalex.org/W1591261450","https://openalex.org/W1964673160","https://openalex.org/W1994910078","https://openalex.org/W1996239470","https://openalex.org/W2012066174","https://openalex.org/W2023358569","https://openalex.org/W2033511209","https://openalex.org/W2045471945","https://openalex.org/W2051076175","https://openalex.org/W2051706947","https://openalex.org/W2069435104","https://openalex.org/W2079711316","https://openalex.org/W2088536270","https://openalex.org/W2097593805","https://openalex.org/W2108841273","https://openalex.org/W2111830694","https://openalex.org/W2115499189","https://openalex.org/W2148908786","https://openalex.org/W2166568569","https://openalex.org/W2212055388","https://openalex.org/W2735997506","https://openalex.org/W2799519280","https://openalex.org/W2977811462","https://openalex.org/W2996599615","https://openalex.org/W3011624649","https://openalex.org/W3037637724","https://openalex.org/W3070695293","https://openalex.org/W3085530664","https://openalex.org/W3096635723","https://openalex.org/W3119330394","https://openalex.org/W3165697914","https://openalex.org/W3206047749","https://openalex.org/W4229650096","https://openalex.org/W4233288599","https://openalex.org/W4309211549","https://openalex.org/W4313293142","https://openalex.org/W4364320942","https://openalex.org/W6631077220","https://openalex.org/W6635453876","https://openalex.org/W6661809539","https://openalex.org/W6676144490","https://openalex.org/W6688373202"],"related_works":["https://openalex.org/W2071359864","https://openalex.org/W2085771669","https://openalex.org/W2107828318","https://openalex.org/W1990089414","https://openalex.org/W2383497899","https://openalex.org/W2014530303","https://openalex.org/W2800221421","https://openalex.org/W4300298440","https://openalex.org/W2351336444","https://openalex.org/W2143945241"],"abstract_inverted_index":{"In":[0],"this":[1],"manuscript,":[2],"we":[3],"investigate":[4],"some":[5,74],"convergence":[6,27],"and":[7,25,38,69,83],"stability":[8],"results":[9],"for":[10,30,39],"reckoning":[11],"fixed":[12],"points":[13],"using":[14],"a":[15,20,35,45,110],"faster":[16],"iterative":[17,91],"scheme":[18],"in":[19,34,44,58,93],"Banach":[21,36,48],"space.":[22,49],"Also,":[23],"weak":[24],"strong":[26],"are":[28],"discussed":[29],"close":[31],"contraction":[32],"mappings":[33],"space":[37],"Suzuki":[40],"generalized":[41],"nonexpansive":[42],"mapping":[43],"uniformly":[46],"convex":[47,67,71],"Our":[50],"method":[51],"opens":[52],"the":[53,59,81,86,90,94,97,104],"door":[54],"to":[55,79,102],"many":[56],"expansions":[57],"problems":[60],"of":[61,85],"monotone":[62],"variational":[63],"inequalities,":[64],"image":[65],"restoration,":[66],"optimization,":[68],"split":[70],"feasibility.":[72],"Moreover,":[73],"experimental":[75],"examples":[76],"were":[77],"conducted":[78],"gauge":[80],"usefulness":[82],"efficiency":[84],"technique":[87],"compared":[88],"with":[89,109],"methods":[92],"literature.":[95],"Finally,":[96],"proposed":[98],"approach":[99],"is":[100],"applied":[101],"solve":[103],"nonlinear":[105],"Volterra":[106],"integral":[107],"equation":[108],"delay.":[111]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-06-15T08:34:33.830935","created_date":"2025-10-10T00:00:00"}
