{"id":"https://openalex.org/W4316468235","doi":"https://doi.org/10.3390/axioms12010088","title":"Two Convergence Results for Inexact Infinite Products of Non-Expansive Mappings","display_name":"Two Convergence Results for Inexact Infinite Products of Non-Expansive Mappings","publication_year":2023,"publication_date":"2023-01-14","ids":{"openalex":"https://openalex.org/W4316468235","doi":"https://doi.org/10.3390/axioms12010088"},"language":"en","primary_location":{"id":"doi:10.3390/axioms12010088","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/axioms12010088","pdf_url":"https://www.mdpi.com/2075-1680/12/1/88/pdf?version=1674178994","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/2075-1680/12/1/88/pdf?version=1674178994","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102814437","display_name":"Alexander J. Zaslavski","orcid":"https://orcid.org/0000-0002-6381-6459"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Alexander J. Zaslavski","raw_affiliation_strings":["Department of Mathematics, Technion-Israel Institute of Technology, Haifa 32000, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Technion-Israel Institute of Technology, Haifa 32000, Israel","institution_ids":["https://openalex.org/I174306211"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5102814437"],"corresponding_institution_ids":["https://openalex.org/I174306211"],"apc_list":{"value":1600,"currency":"CHF","value_usd":1782},"apc_paid":{"value":1600,"currency":"CHF","value_usd":1782},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01658913,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"12","issue":"1","first_page":"88","last_page":"88"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9991000294685364,"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":0.996999979019165,"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/expansive","display_name":"Expansive","score":0.7894155979156494},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6651310920715332},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6405128836631775},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.5835037231445312},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.5535140037536621},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5324678421020508},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5201178789138794},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5176306366920471},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.48835131525993347},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.31047916412353516},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.23479384183883667},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06245201826095581}],"concepts":[{"id":"https://openalex.org/C2780502288","wikidata":"https://www.wikidata.org/wiki/Q28838156","display_name":"Expansive","level":3,"score":0.7894155979156494},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6651310920715332},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6405128836631775},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5835037231445312},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.5535140037536621},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5324678421020508},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5201178789138794},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5176306366920471},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.48835131525993347},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.31047916412353516},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.23479384183883667},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06245201826095581},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C30407753","wikidata":"https://www.wikidata.org/wiki/Q186191","display_name":"Compressive strength","level":2,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","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},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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":3,"locations":[{"id":"doi:10.3390/axioms12010088","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/axioms12010088","pdf_url":"https://www.mdpi.com/2075-1680/12/1/88/pdf?version=1674178994","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:6d3ed4a14e2948c697a73f5a87928dd2","is_oa":true,"landing_page_url":"https://doaj.org/article/6d3ed4a14e2948c697a73f5a87928dd2","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 1, p 88 (2023)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2075-1680/12/1/88/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/axioms12010088","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 1; Pages: 88","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/axioms12010088","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/axioms12010088","pdf_url":"https://www.mdpi.com/2075-1680/12/1/88/pdf?version=1674178994","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":[{"score":0.4099999964237213,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4316468235.pdf","grobid_xml":"https://content.openalex.org/works/W4316468235.grobid-xml"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W82915671","https://openalex.org/W147294779","https://openalex.org/W1458771408","https://openalex.org/W1487976166","https://openalex.org/W1577514385","https://openalex.org/W2002154633","https://openalex.org/W2011347843","https://openalex.org/W2020301444","https://openalex.org/W2097629080","https://openalex.org/W2099454114","https://openalex.org/W2146418213","https://openalex.org/W2294195432","https://openalex.org/W2299672774","https://openalex.org/W2484041846","https://openalex.org/W2557680031","https://openalex.org/W2570286572","https://openalex.org/W2590387730","https://openalex.org/W2788741275","https://openalex.org/W2802681976","https://openalex.org/W3081532174","https://openalex.org/W3099167956","https://openalex.org/W3141780051","https://openalex.org/W6603459124","https://openalex.org/W6697375382","https://openalex.org/W6748562029","https://openalex.org/W6782341941"],"related_works":["https://openalex.org/W4298284054","https://openalex.org/W2157609968","https://openalex.org/W4302368440","https://openalex.org/W2271765275","https://openalex.org/W2964116984","https://openalex.org/W3207631643","https://openalex.org/W2910590812","https://openalex.org/W1976491401","https://openalex.org/W4251098778","https://openalex.org/W4297851895"],"abstract_inverted_index":{"We":[0],"analyze":[1],"the":[2,23],"asymptotic":[3],"behavior":[4],"of":[5,8,17],"infinite":[6],"products":[7],"non-linear":[9],"operators":[10],"which":[11],"take":[12],"a":[13,18],"non-empty,":[14],"closed":[15],"subset":[16],"complete":[19],"metric":[20],"space":[21],"into":[22,26],"space,":[24],"taking":[25],"account":[27],"summable":[28],"computational":[29],"errors.":[30],"Our":[31],"results":[32],"can":[33],"be":[34],"applied":[35],"in":[36],"methods":[37],"for":[38],"solving":[39],"convex":[40],"feasibility":[41],"and":[42],"optimization":[43],"problems.":[44]},"counts_by_year":[],"updated_date":"2026-08-18T07:49:30.821534","created_date":"2025-10-10T00:00:00"}
