{"id":"https://openalex.org/W2004827077","doi":"https://doi.org/10.1155/2012/590676","title":"Existence and Stability of Iterative Algorithm for a System of Random Set\u2010Valued Variational Inclusion Problems Involving (<i>A</i>, <i>m</i>, <i>\u03b7</i>)\u2010Generalized Monotone Operators","display_name":"Existence and Stability of Iterative Algorithm for a System of Random Set\u2010Valued Variational Inclusion Problems Involving (<i>A</i>, <i>m</i>, <i>\u03b7</i>)\u2010Generalized Monotone Operators","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2004827077","doi":"https://doi.org/10.1155/2012/590676","mag":"2004827077"},"language":"en","primary_location":{"id":"doi:10.1155/2012/590676","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/590676","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/590676.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2012/590676.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5087138706","display_name":"Jittiporn Suwannawit","orcid":null},"institutions":[{"id":"https://openalex.org/I66200439","display_name":"Naresuan University","ror":"https://ror.org/03e2qe334","country_code":"TH","type":"education","lineage":["https://openalex.org/I66200439"]},{"id":"https://openalex.org/I4210117768","display_name":"Centre of Excellence in Mathematics","ror":"https://ror.org/02df7gw66","country_code":"TH","type":"education","lineage":["https://openalex.org/I4210117768"]}],"countries":["TH"],"is_corresponding":false,"raw_author_name":"Jittiporn Suwannawit","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand","The Centre of Excellence in Mathematics, CHE, Si Ayuthaya Road, Bangkok 10400, Thailand","Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000","The Centre of Excellence in Mathematics, CHE, Si Ayuthaya Road, Bangkok 10400"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand","institution_ids":["https://openalex.org/I66200439"]},{"raw_affiliation_string":"The Centre of Excellence in Mathematics, CHE, Si Ayuthaya Road, Bangkok 10400, Thailand","institution_ids":["https://openalex.org/I4210117768"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000","institution_ids":["https://openalex.org/I66200439"]},{"raw_affiliation_string":"The Centre of Excellence in Mathematics, CHE, Si Ayuthaya Road, Bangkok 10400","institution_ids":["https://openalex.org/I4210117768"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076530191","display_name":"Narin Petrot","orcid":"https://orcid.org/0000-0001-6539-7107"},"institutions":[{"id":"https://openalex.org/I66200439","display_name":"Naresuan University","ror":"https://ror.org/03e2qe334","country_code":"TH","type":"education","lineage":["https://openalex.org/I66200439"]}],"countries":["TH"],"is_corresponding":true,"raw_author_name":"Narin Petrot","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand","Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand","institution_ids":["https://openalex.org/I66200439"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000","institution_ids":["https://openalex.org/I66200439"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5076530191"],"corresponding_institution_ids":["https://openalex.org/I66200439"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.6739,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.6953396,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"2012","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9994999766349792,"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":0.9994999766349792,"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/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.9911999702453613,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.7404970526695251},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.6935781240463257},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.48941174149513245},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44601985812187195},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4306657016277313},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.4110032916069031},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.18823722004890442},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08910161256790161},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.07579439878463745}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.7404970526695251},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.6935781240463257},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.48941174149513245},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44601985812187195},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4306657016277313},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4110032916069031},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.18823722004890442},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08910161256790161},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.07579439878463745},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2012/590676","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/590676","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/590676.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1357180271","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jam/1357180271","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:doaj.org/article:b85104405db84b24afffb717a2a85792","is_oa":true,"landing_page_url":"https://doaj.org/article/b85104405db84b24afffb717a2a85792","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-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2012 (2012)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2012/590676","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/590676","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/590676.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.6899999976158142}],"awards":[{"id":"https://openalex.org/G408410856","display_name":null,"funder_award_id":"R2554B102","funder_id":"https://openalex.org/F4320322817","funder_display_name":"National Research Council of Thailand"}],"funders":[{"id":"https://openalex.org/F4320322817","display_name":"National Research Council of Thailand","ror":"https://ror.org/018wfhg78"},{"id":"https://openalex.org/F4320324072","display_name":"Commission on Higher Education","ror":"https://ror.org/04s346m05"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2004827077.pdf","grobid_xml":"https://content.openalex.org/works/W2004827077.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W267522341","https://openalex.org/W1964464035","https://openalex.org/W1970167778","https://openalex.org/W1977841421","https://openalex.org/W1982471234","https://openalex.org/W1990628207","https://openalex.org/W1997001585","https://openalex.org/W1999200183","https://openalex.org/W2005244430","https://openalex.org/W2026585769","https://openalex.org/W2032068878","https://openalex.org/W2043381604","https://openalex.org/W2058307164","https://openalex.org/W2058580860","https://openalex.org/W2064317079","https://openalex.org/W2069691391","https://openalex.org/W2085471452","https://openalex.org/W2086197966","https://openalex.org/W2086635900","https://openalex.org/W2097835116","https://openalex.org/W2105178727","https://openalex.org/W2109846476","https://openalex.org/W2149833632","https://openalex.org/W4252309911","https://openalex.org/W6651942555"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2042127053"],"abstract_inverted_index":{"We":[0],"introduce":[1],"and":[2],"study":[3],"a":[4,7,57],"class":[5],"of":[6,9,20,22,35,51,59],"system":[8],"random":[10],"set\u2010valued":[11],"variational":[12],"inclusion":[13],"problems.":[14],"Some":[15],"conditions":[16],"for":[17,55],"the":[18,28,33,49,52,60],"existence":[19],"solutions":[21],"such":[23],"problems":[24],"are":[25,30],"provided,":[26],"when":[27],"operators":[29],"contained":[31],"in":[32],"classes":[34],"generalized":[36],"monotone":[37],"operators,":[38],"so\u2010called":[39],"(":[40],"A":[41],",":[42,44],"m":[43],"\u03b7":[45],")\u2010monotone":[46],"operator.":[47],"Further,":[48],"stability":[50],"iterative":[53],"algorithm":[54],"finding":[56],"solution":[58],"considered":[61],"problem":[62],"is":[63],"also":[64],"discussed.":[65]},"counts_by_year":[{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}
