{"id":"https://openalex.org/W2153216035","doi":"https://doi.org/10.1155/s0161171204209395","title":"Iterative approximation of a solution of a general variational\u2010like inclusion in Banach spaces","display_name":"Iterative approximation of a solution of a general variational\u2010like inclusion in Banach spaces","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W2153216035","doi":"https://doi.org/10.1155/s0161171204209395","mag":"2153216035"},"language":"en","primary_location":{"id":"doi:10.1155/s0161171204209395","is_oa":true,"landing_page_url":"https://doi.org/10.1155/s0161171204209395","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2004/563278.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"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":"International Journal of Mathematics and Mathematical Sciences","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/ijmms/2004/563278.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5043438535","display_name":"C.E. Chidume","orcid":"https://orcid.org/0000-0002-0672-1840"},"institutions":[{"id":"https://openalex.org/I12323705","display_name":"The Abdus Salam International Centre for Theoretical Physics (ICTP)","ror":"https://ror.org/009gyvm78","country_code":"IT","type":"facility","lineage":["https://openalex.org/I12323705","https://openalex.org/I1286959531","https://openalex.org/I1293226324","https://openalex.org/I2801247003"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"C. E. Chidume","raw_affiliation_strings":["The Abdus Salam International Centre for Theoretical Physics Trieste 34100, Italy, ictp.it","The Abdus Salam International Centre for Theoretical Physics"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Abdus Salam International Centre for Theoretical Physics Trieste 34100, Italy, ictp.it","institution_ids":["https://openalex.org/I12323705"]},{"raw_affiliation_string":"The Abdus Salam International Centre for Theoretical Physics","institution_ids":["https://openalex.org/I12323705"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061588160","display_name":"K.R. Kazmi","orcid":"https://orcid.org/0000-0002-2035-1209"},"institutions":[{"id":"https://openalex.org/I12323705","display_name":"The Abdus Salam International Centre for Theoretical Physics (ICTP)","ror":"https://ror.org/009gyvm78","country_code":"IT","type":"facility","lineage":["https://openalex.org/I12323705","https://openalex.org/I1286959531","https://openalex.org/I1293226324","https://openalex.org/I2801247003"]},{"id":"https://openalex.org/I171210897","display_name":"Aligarh Muslim University","ror":"https://ror.org/03kw9gc02","country_code":"IN","type":"education","lineage":["https://openalex.org/I171210897"]}],"countries":["IN","IT"],"is_corresponding":false,"raw_author_name":"K. R. Kazmi","raw_affiliation_strings":["Department of Mathematics Aligarh Muslim University Aligarh 202 002, India, amu.ac.in","The Abdus Salam International Centre for Theoretical Physics Trieste 34100, Italy, ictp.it","Department of Mathematics, Aligarh Muslim University","The Abdus Salam International Centre for Theoretical Physics"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics Aligarh Muslim University Aligarh 202 002, India, amu.ac.in","institution_ids":["https://openalex.org/I171210897"]},{"raw_affiliation_string":"The Abdus Salam International Centre for Theoretical Physics Trieste 34100, Italy, ictp.it","institution_ids":["https://openalex.org/I12323705"]},{"raw_affiliation_string":"Department of Mathematics, Aligarh Muslim University","institution_ids":["https://openalex.org/I171210897"]},{"raw_affiliation_string":"The Abdus Salam International Centre for Theoretical Physics","institution_ids":["https://openalex.org/I12323705"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064556232","display_name":"Habtu Zegeye","orcid":"https://orcid.org/0000-0002-9273-0830"},"institutions":[{"id":"https://openalex.org/I12323705","display_name":"The Abdus Salam International Centre for Theoretical Physics (ICTP)","ror":"https://ror.org/009gyvm78","country_code":"IT","type":"facility","lineage":["https://openalex.org/I12323705","https://openalex.org/I1286959531","https://openalex.org/I1293226324","https://openalex.org/I2801247003"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"H. Zegeye","raw_affiliation_strings":["The Abdus Salam International Centre for Theoretical Physics Trieste 34100, Italy, ictp.it","The Abdus Salam International Centre for Theoretical Physics"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Abdus Salam International Centre for Theoretical Physics Trieste 34100, Italy, ictp.it","institution_ids":["https://openalex.org/I12323705"]},{"raw_affiliation_string":"The Abdus Salam International Centre for Theoretical Physics","institution_ids":["https://openalex.org/I12323705"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1050,"currency":"USD","value_usd":1050},"apc_paid":{"value":1050,"currency":"USD","value_usd":1050},"fwci":2.4035,"has_fulltext":true,"cited_by_count":32,"citation_normalized_percentile":{"value":0.8895087,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"2004","issue":"22","first_page":"1159","last_page":"1168"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9976999759674072,"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/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.9786999821662903,"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/mathematics","display_name":"Mathematics","score":0.8603253364562988},{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.8522325754165649},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.7375558018684387},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6461279392242432},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.588123083114624},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5165716409683228},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.47337478399276733},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4355423152446747},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3552144765853882},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35384130477905273},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.35106247663497925},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07671529054641724}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8603253364562988},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.8522325754165649},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.7375558018684387},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6461279392242432},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.588123083114624},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5165716409683228},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.47337478399276733},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4355423152446747},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3552144765853882},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35384130477905273},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35106247663497925},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07671529054641724},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1155/s0161171204209395","is_oa":true,"landing_page_url":"https://doi.org/10.1155/s0161171204209395","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2004/563278.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"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":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},{"id":"pmh:hdl:10068/314296","is_oa":false,"landing_page_url":"http://hdl.handle.net/10068/314296","pdf_url":null,"source":{"id":"https://openalex.org/S4377196900","display_name":"OpenGrey (Institut de l'Information Scientifique et Technique)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1295345811","host_organization_name":"Institut de l'Information Scientifique et Technique","host_organization_lineage":["https://openalex.org/I1295345811"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Y - Progress report"},{"id":"pmh:oai:cds.cern.ch:646734","is_oa":false,"landing_page_url":"http://cds.cern.ch/record/646734","pdf_url":null,"source":{"id":"https://openalex.org/S4306402195","display_name":"CERN Document Server (European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"pmh:oai:doaj.org/article:5548db78f5374153b7f593d58ad10ee2","is_oa":false,"landing_page_url":"https://doaj.org/article/5548db78f5374153b7f593d58ad10ee2","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":"International Journal of Mathematics and Mathematical Sciences, Vol 2004, Iss 22, Pp 1159-1168 (2004)","raw_type":"article"},{"id":"pmh:oai:doaj.org/article:957fb1b7efac4d61bb02240eeb3a0f1b","is_oa":true,"landing_page_url":"https://doaj.org/article/957fb1b7efac4d61bb02240eeb3a0f1b","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":"International Journal of Mathematics and Mathematical Sciences, Vol 2004, Iss 22, Pp 1159-1168 (2004)","raw_type":"article"},{"id":"pmh:oai:hindawi.com:10.1155/S0161171204209395","is_oa":false,"landing_page_url":"https://doi.org/10.1155/S0161171204209395","pdf_url":null,"source":{"id":"https://openalex.org/S4306400340","display_name":"Hindawi Journal of Chemistry (Hindawi)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210126990","host_organization_name":"Hindawi (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210126990"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"best_oa_location":{"id":"doi:10.1155/s0161171204209395","is_oa":true,"landing_page_url":"https://doi.org/10.1155/s0161171204209395","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2004/563278.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"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":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.4300000071525574,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320320894","display_name":"Abdus Salam International Centre for Theoretical Physics","ror":"https://ror.org/009gyvm78"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2153216035.pdf","grobid_xml":"https://content.openalex.org/works/W2153216035.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W1602511700","https://openalex.org/W1967077838","https://openalex.org/W1977625965","https://openalex.org/W2004326643","https://openalex.org/W2005301135","https://openalex.org/W2036451537","https://openalex.org/W2054966831","https://openalex.org/W2065208209","https://openalex.org/W2083090840","https://openalex.org/W2094263060","https://openalex.org/W2095347089","https://openalex.org/W2129941846","https://openalex.org/W2143091424","https://openalex.org/W2985272081","https://openalex.org/W4230212423","https://openalex.org/W4302995583","https://openalex.org/W6607367167","https://openalex.org/W6637909709"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W3185235544","https://openalex.org/W4297791327","https://openalex.org/W2897842840","https://openalex.org/W2911623553","https://openalex.org/W2397777611","https://openalex.org/W1502031429","https://openalex.org/W2318923278","https://openalex.org/W2363849453","https://openalex.org/W2361703941"],"abstract_inverted_index":{"We":[0],"introduce":[1],"a":[2,9,37],"class":[3,38,57],"of":[4,39,58,66],"\u03b7":[5,17,22,44,59],"\u2010accretive":[6,25,45,60],"mappings":[7,46,61],"in":[8,47],"real":[10,48],"Banach":[11,49],"space":[12],"and":[13,51],"show":[14],"that":[15,68],"the":[16],"\u2010proximal":[18],"point":[19],"mapping":[20,26],"for":[21,36],"\u2010":[23],"m":[24],"is":[27],"Lipschitz":[28],"continuous.":[29],"Further,":[30],"we":[31],"develop":[32],"an":[33],"iterative":[34],"algorithm":[35],"general":[40],"variational\u2010like":[41],"inclusions":[42],"involving":[43],"space,":[50],"discuss":[52],"its":[53],"convergence":[54],"criteria.":[55],"The":[56],"includes":[62],"several":[63],"important":[64],"classes":[65],"operators":[67],"have":[69],"been":[70],"studied":[71],"by":[72],"various":[73],"authors.":[74]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-26T07:53:14.480251","created_date":"2025-10-10T00:00:00"}
