{"id":"https://openalex.org/W4385240986","doi":"https://doi.org/10.3390/sym15071464","title":"A Modified Parallel Algorithm for a Common Fixed-Point Problem with Application to Signal Recovery","display_name":"A Modified Parallel Algorithm for a Common Fixed-Point Problem with Application to Signal Recovery","publication_year":2023,"publication_date":"2023-07-24","ids":{"openalex":"https://openalex.org/W4385240986","doi":"https://doi.org/10.3390/sym15071464"},"language":"en","primary_location":{"id":"doi:10.3390/sym15071464","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15071464","pdf_url":"https://www.mdpi.com/2073-8994/15/7/1464/pdf?version=1690185127","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/15/7/1464/pdf?version=1690185127","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5046865954","display_name":"Anchalee Khemphet","orcid":"https://orcid.org/0000-0002-2508-1738"},"institutions":[{"id":"https://openalex.org/I48076826","display_name":"Chiang Mai University","ror":"https://ror.org/05m2fqn25","country_code":"TH","type":"education","lineage":["https://openalex.org/I48076826"]}],"countries":["TH"],"is_corresponding":false,"raw_author_name":"Anchalee Khemphet","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Mueang Chiang Mai, Chiang Mai University, Chiang Mai 50200, Thailand"],"raw_orcid":"https://orcid.org/0000-0002-2508-1738","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Mueang Chiang Mai, Chiang Mai University, Chiang Mai 50200, Thailand","institution_ids":["https://openalex.org/I48076826"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066062414","display_name":"Raweerote Suparatulatorn","orcid":"https://orcid.org/0000-0003-0790-3811"},"institutions":[{"id":"https://openalex.org/I48076826","display_name":"Chiang Mai University","ror":"https://ror.org/05m2fqn25","country_code":"TH","type":"education","lineage":["https://openalex.org/I48076826"]}],"countries":["TH"],"is_corresponding":false,"raw_author_name":"Raweerote Suparatulatorn","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Mueang Chiang Mai, Chiang Mai University, Chiang Mai 50200, Thailand"],"raw_orcid":"https://orcid.org/0000-0003-0790-3811","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Mueang Chiang Mai, Chiang Mai University, Chiang Mai 50200, Thailand","institution_ids":["https://openalex.org/I48076826"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031437159","display_name":"Pariwate Varnakovida","orcid":"https://orcid.org/0000-0003-3425-3447"},"institutions":[{"id":"https://openalex.org/I60837268","display_name":"King Mongkut's University of Technology Thonburi","ror":"https://ror.org/0057ax056","country_code":"TH","type":"education","lineage":["https://openalex.org/I60837268"]}],"countries":["TH"],"is_corresponding":false,"raw_author_name":"Pariwate Varnakovida","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, King Mongkut\u2019s University of Technology Thonburi, Thung Khru, Bangkok 10140, Thailand","KMUTT Geospatial Engineering and Innovation Center, Faculty of Science, King Mongkut\u2019s University of Technology Thonburi, Thung Khru, Bangkok 10140, Thailand","KMUTT Geospatial Engineering and Innovation Center, Faculty of Science, King Mongkut's University of Technology Thonburi, Thung Khru, Bangkok 10140, Thailand","Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi, Thung Khru, Bangkok 10140, Thailand"],"raw_orcid":"https://orcid.org/0000-0003-3425-3447","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, King Mongkut\u2019s University of Technology Thonburi, Thung Khru, Bangkok 10140, Thailand","institution_ids":["https://openalex.org/I60837268"]},{"raw_affiliation_string":"KMUTT Geospatial Engineering and Innovation Center, Faculty of Science, King Mongkut\u2019s University of Technology Thonburi, Thung Khru, Bangkok 10140, Thailand","institution_ids":["https://openalex.org/I60837268"]},{"raw_affiliation_string":"KMUTT Geospatial Engineering and Innovation Center, Faculty of Science, King Mongkut's University of Technology Thonburi, Thung Khru, Bangkok 10140, Thailand","institution_ids":["https://openalex.org/I60837268"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi, Thung Khru, Bangkok 10140, Thailand","institution_ids":["https://openalex.org/I60837268"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018177563","display_name":"Phakdi Charoensawan","orcid":"https://orcid.org/0000-0001-5063-1220"},"institutions":[{"id":"https://openalex.org/I48076826","display_name":"Chiang Mai University","ror":"https://ror.org/05m2fqn25","country_code":"TH","type":"education","lineage":["https://openalex.org/I48076826"]}],"countries":["TH"],"is_corresponding":true,"raw_author_name":"Phakdi Charoensawan","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Mueang Chiang Mai, Chiang Mai University, Chiang Mai 50200, Thailand"],"raw_orcid":"https://orcid.org/0000-0001-5063-1220","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Mueang Chiang Mai, Chiang Mai University, Chiang Mai 50200, Thailand","institution_ids":["https://openalex.org/I48076826"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5018177563"],"corresponding_institution_ids":["https://openalex.org/I48076826"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.1901,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.53777956,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"15","issue":"7","first_page":"1464","last_page":"1464"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9993000030517578,"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":0.9993000030517578,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/algorithm","display_name":"Algorithm","score":0.7533284425735474},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6458573341369629},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.5480827689170837},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.5310041904449463},{"id":"https://openalex.org/keywords/directed-graph","display_name":"Directed graph","score":0.48662862181663513},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4757887125015259},{"id":"https://openalex.org/keywords/inertial-frame-of-reference","display_name":"Inertial frame of reference","score":0.47412705421447754},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4730764329433441},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46000152826309204},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.41966351866722107},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2090452015399933},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07066148519515991}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.7533284425735474},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6458573341369629},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.5480827689170837},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.5310041904449463},{"id":"https://openalex.org/C146380142","wikidata":"https://www.wikidata.org/wiki/Q1137726","display_name":"Directed graph","level":2,"score":0.48662862181663513},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4757887125015259},{"id":"https://openalex.org/C173386949","wikidata":"https://www.wikidata.org/wiki/Q192735","display_name":"Inertial frame of reference","level":2,"score":0.47412705421447754},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4730764329433441},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46000152826309204},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.41966351866722107},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2090452015399933},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07066148519515991},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/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/sym15071464","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15071464","pdf_url":"https://www.mdpi.com/2073-8994/15/7/1464/pdf?version=1690185127","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:984e9facacf24b92b3c9f4e9fd511c3a","is_oa":false,"landing_page_url":"https://doaj.org/article/984e9facacf24b92b3c9f4e9fd511c3a","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 15, Iss 7, p 1464 (2023)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/15/7/1464/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym15071464","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":"Symmetry","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym15071464","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15071464","pdf_url":"https://www.mdpi.com/2073-8994/15/7/1464/pdf?version=1690185127","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321529","display_name":"Chiang Mai University","ror":"https://ror.org/05m2fqn25"},{"id":"https://openalex.org/F4320322818","display_name":"King Mongkut's University of Technology Thonburi","ror":"https://ror.org/0057ax056"},{"id":"https://openalex.org/F4320335282","display_name":"Faculty of Science, Chiang Mai University","ror":"https://ror.org/05m2fqn25"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4385240986.pdf"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W1503476534","https://openalex.org/W1980223035","https://openalex.org/W1988720110","https://openalex.org/W2091512449","https://openalex.org/W2100556411","https://openalex.org/W2125576177","https://openalex.org/W2516763465","https://openalex.org/W2791372187","https://openalex.org/W2898652318","https://openalex.org/W2921224090","https://openalex.org/W2936995161","https://openalex.org/W2961197199","https://openalex.org/W2966280682","https://openalex.org/W2979605085","https://openalex.org/W2999895144","https://openalex.org/W3011154760","https://openalex.org/W3100826675","https://openalex.org/W3103376690","https://openalex.org/W3160491452","https://openalex.org/W3207944998","https://openalex.org/W4229650096","https://openalex.org/W6761030284"],"related_works":["https://openalex.org/W3125070615","https://openalex.org/W172022518","https://openalex.org/W4389558692","https://openalex.org/W3103135560","https://openalex.org/W2064098885","https://openalex.org/W2391553691","https://openalex.org/W4306682002","https://openalex.org/W1996377345","https://openalex.org/W4379162871","https://openalex.org/W4323058680"],"abstract_inverted_index":{"In":[0],"this":[1],"work,":[2],"an":[3,64],"algorithm":[4,35,40,68],"is":[5,36,78],"introduced":[6],"for":[7,60],"the":[8,43,47,61,67,81,89],"problem":[9,73],"of":[10,16,20,66],"finding":[11],"a":[12,17,24,30,37,70],"common":[13],"fixed":[14],"point":[15],"finite":[18],"family":[19],"G-nonexpansive":[21],"mappings":[22],"in":[23],"real":[25],"Hilbert":[26],"space":[27],"endowed":[28],"with":[29,74,88],"directed":[31],"graph":[32],"G.":[33],"This":[34],"modified":[38],"parallel":[39],"inspired":[41],"by":[42],"inertial":[44],"method":[45],"and":[46,54],"Mann":[48],"iteration":[49],"process.":[50],"Moreover,":[51],"both":[52],"weak":[53],"strong":[55],"convergence":[56],"theorems":[57],"are":[58],"provided":[59],"algorithm.":[62,91],"Furthermore,":[63],"application":[65],"to":[69],"signal":[71],"recovery":[72],"multiple":[75],"blurring":[76],"filters":[77],"presented.":[79],"Consequently,":[80],"numerical":[82],"experiment":[83],"shows":[84],"better":[85],"results":[86],"compared":[87],"previous":[90]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2025-10-10T00:00:00"}
